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156344256 = 26371117
BaseRepresentation
bin10010101000110…
…01111111000000
3101220012010000000
421110121333000
5310011004011
623303000000
73605622105
oct1124317700
9356163000
10156344256
1180285832
1244439000
13265107c3
1416a9aaac
15dad4356
hex9519fc0

156344256 has 112 divisors (see below), whose sum is σ = 465714080. Its totient is φ = 52068096.

The previous prime is 156344213. The next prime is 156344261. The reversal of 156344256 is 652443651.

156344256 is a `hidden beast` number, since 1 + 563 + 4 + 42 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 156344256.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139410 + ... + 140526.

Almost surely, 2156344256 is an apocalyptic number.

156344256 is a gapful number since it is divisible by the number (16) 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 156344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232857040).

156344256 is an abundant number, since it is smaller than the sum of its proper divisors (309369824).

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

156344256 is an frugal number, since it uses more digits than its factorization.

156344256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1122 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 156344256 is about 12503.7696715830. The cubic root of 156344256 is about 538.7169538823.

The spelling of 156344256 in words is "one hundred fifty-six million, three hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1117 1296 1458 1728 1944 2187 2234 2592 2916 3351 3888 4374 4468 5184 5832 6702 7776 8748 8936 10053 11664 13404 15552 17496 17872 20106 23328 26808 30159 34992 35744 40212 46656 53616 60318 69984 71488 80424 90477 107232 120636 139968 160848 180954 214464 241272 271431 321696 361908 482544 542862 643392 723816 814293 965088 1085724 1447632 1628586 1930176 2171448 2442879 2895264 3257172 4342896 4885758 5790528 6514344 8685792 9771516 13028688 17371584 19543032 26057376 39086064 52114752 78172128 156344256