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156442356 = 223272921407
BaseRepresentation
bin10010101001100…
…01111011110100
3101220101002120100
421110301323310
5310022123411
623305034100
73606511110
oct1124617364
9356332510
10156442356
1180342504
1244485930
1326546355
1416ac4740
15db03456
hex9531ef4

156442356 has 72 divisors (see below), whose sum is σ = 467550720. Its totient is φ = 43154496.

The previous prime is 156442309. The next prime is 156442361. The reversal of 156442356 is 653244651.

156442356 is a `hidden beast` number, since 1 + 5 + 644 + 2 + 3 + 5 + 6 = 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 156442356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3396 + ... + 18011.

It is an arithmetic number, because the mean of its divisors is an integer number (6493760).

Almost surely, 2156442356 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 156442356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233775360).

156442356 is an abundant number, since it is smaller than the sum of its proper divisors (311108364).

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

156442356 is a wasteful number, since it uses less digits than its factorization.

156442356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21453 (or 21448 counting only the distinct ones).

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

The square root of 156442356 is about 12507.6918734033. The cubic root of 156442356 is about 538.8296050386.

The spelling of 156442356 in words is "one hundred fifty-six million, four hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 58 63 84 87 116 126 174 203 252 261 348 406 522 609 812 1044 1218 1827 2436 3654 7308 21407 42814 64221 85628 128442 149849 192663 256884 299698 385326 449547 599396 620803 770652 899094 1241606 1348641 1798188 1862409 2483212 2697282 3724818 4345621 5394564 5587227 7449636 8691242 11174454 13036863 17382484 22348908 26073726 39110589 52147452 78221178 156442356