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1429808112 = 2437291409
BaseRepresentation
bin101010100111001…
…0010001111110000
310200122102210000000
41111032102033300
510412012324422
6353513430000
750301111525
oct12516221760
93618383000
101429808112
116740a8aa7
1233aa0b300
1319a2b7305
14d7c7114c
15857d1cac
hex553923f0

1429808112 has 160 divisors (see below), whose sum is σ = 4301064000. Its totient is φ = 459841536.

The previous prime is 1429808111. The next prime is 1429808113. The reversal of 1429808112 is 2118089241.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1429808111) and next prime (1429808113).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1429808111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1014064 + ... + 1015472.

It is an arithmetic number, because the mean of its divisors is an integer number (26881650).

Almost surely, 21429808112 is an apocalyptic number.

1429808112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429808112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150532000).

1429808112 is an abundant number, since it is smaller than the sum of its proper divisors (2871255888).

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

1429808112 is an equidigital number, since it uses as much as digits as its factorization.

1429808112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1429808112 is about 37812.8035458891. The cubic root of 1429808112 is about 1126.5727761976.

The spelling of 1429808112 in words is "one billion, four hundred twenty-nine million, eight hundred eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 432 464 486 522 648 696 729 783 972 1044 1296 1392 1409 1458 1566 1944 2088 2187 2349 2818 2916 3132 3888 4176 4227 4374 4698 5636 5832 6264 7047 8454 8748 9396 11272 11664 12528 12681 14094 16908 17496 18792 21141 22544 25362 28188 33816 34992 37584 38043 40861 42282 50724 56376 63423 67632 76086 81722 84564 101448 112752 114129 122583 126846 152172 163444 169128 202896 228258 245166 253692 304344 326888 338256 342387 367749 456516 490332 507384 608688 653776 684774 735498 913032 980664 1014768 1027161 1103247 1369548 1470996 1826064 1961328 2054322 2206494 2739096 2941992 3081483 3309741 4108644 4412988 5478192 5883984 6162966 6619482 8217288 8825976 9929223 12325932 13238964 16434576 17651952 19858446 24651864 26477928 29787669 39716892 49303728 52955856 59575338 79433784 89363007 119150676 158867568 178726014 238301352 357452028 476602704 714904056 1429808112