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497060256 = 25371126113
BaseRepresentation
bin11101101000001…
…000100110100000
31021122022021111010
4131220020212200
52004221412011
6121153420520
715213641160
oct3550104640
91248267433
10497060256
11235639800
1211a56a740
137bc95cc4
144a02c5a0
152d9871a6
hex1da089a0

497060256 has 144 divisors (see below), whose sum is σ = 1639334592. Its totient is φ = 129085440.

The previous prime is 497060251. The next prime is 497060281. The reversal of 497060256 is 652060794.

It is a super-5 number, since 5×4970602565 (a number of 45 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (497060251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78256 + ... + 84368.

It is an arithmetic number, because the mean of its divisors is an integer number (11384268).

Almost surely, 2497060256 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 497060256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819667296).

497060256 is an abundant number, since it is smaller than the sum of its proper divisors (1142274336).

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

497060256 is a wasteful number, since it uses less digits than its factorization.

497060256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6155 (or 6136 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 497060256 is about 22294.8481941457. The cubic root of 497060256 is about 792.1419498655.

The spelling of 497060256 in words is "four hundred ninety-seven million, sixty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 121 132 154 168 176 224 231 242 264 308 336 352 363 462 484 528 616 672 726 847 924 968 1056 1232 1452 1694 1848 1936 2464 2541 2904 3388 3696 3872 5082 5808 6113 6776 7392 10164 11616 12226 13552 18339 20328 24452 27104 36678 40656 42791 48904 67243 73356 81312 85582 97808 128373 134486 146712 171164 195616 201729 256746 268972 293424 342328 403458 470701 513492 537944 586848 684656 739673 806916 941402 1026984 1075888 1369312 1412103 1479346 1613832 1882804 2053968 2151776 2219019 2824206 2958692 3227664 3765608 4107936 4438038 5177711 5648412 5917384 6455328 7531216 8876076 10355422 11296824 11834768 15062432 15533133 17752152 20710844 22593648 23669536 31066266 35504304 41421688 45187296 62132532 71008608 82843376 124265064 165686752 248530128 497060256