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429981696 = 21638
BaseRepresentation
bin11001101000010…
…000000000000000
31002222002100000000
4121220100000000
51340033403241
6110400000000
713440532644
oct3150200000
91088070000
10429981696
11200793681
12100000000
136b10b151
144116ac24
1527b36eb6
hex19a10000

429981696 has 153 divisors (see below), whose sum is σ = 1289869711. Its totient is φ = 143327232.

The previous prime is 429981691. The next prime is 429981701. The reversal of 429981696 is 696189924.

429981696 divided by its sum of digits (54) gives a 5-th power (7962624 = 245).

Multipling 429981696 by its product of digits (1679616), we get a 8-th power (722204136308736 = 728).

429981696 divided by its product of digits (1679616) gives a 8-th power (256 = 28).

The square root of 429981696 is 20736.

It is a perfect power (a square, a biquadrate, a 8-th power), and thus also a powerful number.

It is a Jordan-Polya number, since it can be written as (4!)4 ⋅ (3!)4.

It is an interprime number because it is at equal distance from previous prime (429981691) and next prime (429981701).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a Duffinian number.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (429981691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143327231 + 143327232 + 143327233.

Almost surely, 2429981696 is an apocalyptic number.

429981696 is the 20736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 429981696

429981696 is an abundant number, since it is smaller than the sum of its proper divisors (859888015).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

429981696 is an frugal number, since it uses more digits than its factorization.

429981696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 5 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The cubic root of 429981696 is about 754.7735215322.

The spelling of 429981696 in words is "four hundred twenty-nine million, nine hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2187 2304 2592 2916 3072 3456 3888 4096 4374 4608 5184 5832 6144 6561 6912 7776 8192 8748 9216 10368 11664 12288 13122 13824 15552 16384 17496 18432 20736 23328 24576 26244 27648 31104 32768 34992 36864 41472 46656 49152 52488 55296 62208 65536 69984 73728 82944 93312 98304 104976 110592 124416 139968 147456 165888 186624 196608 209952 221184 248832 279936 294912 331776 373248 419904 442368 497664 559872 589824 663552 746496 839808 884736 995328 1119744 1327104 1492992 1679616 1769472 1990656 2239488 2654208 2985984 3359232 3981312 4478976 5308416 5971968 6718464 7962624 8957952 11943936 13436928 15925248 17915904 23887872 26873856 35831808 47775744 53747712 71663616 107495424 143327232 214990848 429981696