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498921696 = 253271319037
BaseRepresentation
bin11101101111001…
…111000011100000
31021202210211220100
4131233033003200
52010210443241
6121301342400
715235523130
oct3557170340
91252724810
10498921696
112366a0289
1211b107a00
137c498350
144a394ac0
152dc039b6
hex1dbcf0e0

498921696 has 144 divisors (see below), whose sum is σ = 1746317664. Its totient is φ = 131576832.

The previous prime is 498921677. The next prime is 498921697. The reversal of 498921696 is 696129894.

498921696 is a `hidden beast` number, since 498 + 92 + 1 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498921697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16690 + ... + 35726.

It is an arithmetic number, because the mean of its divisors is an integer number (12127206).

Almost surely, 2498921696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 498921696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (873158832).

498921696 is an abundant number, since it is smaller than the sum of its proper divisors (1247395968).

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

498921696 is a wasteful number, since it uses less digits than its factorization.

498921696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19073 (or 19062 counting only the distinct ones).

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

The square root of 498921696 is about 22336.5551506941. Note that the first 3 decimals coincide. The cubic root of 498921696 is about 793.1295483609.

The spelling of 498921696 in words is "four hundred ninety-eight million, nine hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 19037 26208 38074 57111 76148 114222 133259 152296 171333 228444 247481 266518 304592 342666 399777 456888 494962 533036 609184 685332 742443 799554 913776 989924 1066072 1199331 1370664 1484886 1599108 1732367 1827552 1979848 2132144 2227329 2398662 2741328 2969772 3198216 3464734 3959696 4264288 4454658 4797324 5197101 5482656 5939544 6396432 6929468 7919392 8909316 9594648 10394202 11879088 12792864 13858936 15591303 17818632 19189296 20788404 23758176 27717872 31182606 35637264 38378592 41576808 55435744 62365212 71274528 83153616 124730424 166307232 249460848 498921696