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156650256 = 2432721492
BaseRepresentation
bin10010101011001…
…00101100010000
3101220202122202100
421111210230100
5310100302011
623313320400
73611335200
oct1125445420
9356678670
10156650256
1180474724
1244566100
13265b9b79
1416b3a400
15db44d56
hex9564b10

156650256 has 135 divisors (see below), whose sum is σ = 513424821. Its totient is φ = 44456832.

The previous prime is 156650243. The next prime is 156650261. The reversal of 156650256 is 652056651.

It is a happy number.

The square root of 156650256 is 12516.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 18352656 + 138297600 = 4284^2 + 11760^2 .

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 156650256.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1051270 + ... + 1051418.

Almost surely, 2156650256 is an apocalyptic number.

156650256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

156650256 is the 12516-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156650256

156650256 is an abundant number, since it is smaller than the sum of its proper divisors (356774565).

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

156650256 is a wasteful number, since it uses less digits than its factorization.

156650256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The cubic root of 156650256 is about 539.0681872469.

Multiplying 156650256 by its sum of digits (36), we get a square (5639409216 = 750962).

156650256 divided by its sum of digits (36) gives a square (4351396 = 20862).

The spelling of 156650256 in words is "one hundred fifty-six million, six hundred fifty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 149 168 196 252 294 298 336 392 441 447 504 588 596 784 882 894 1008 1043 1176 1192 1341 1764 1788 2086 2352 2384 2682 3129 3528 3576 4172 5364 6258 7056 7152 7301 8344 9387 10728 12516 14602 16688 18774 21456 21903 22201 25032 29204 37548 43806 44402 50064 58408 65709 66603 75096 87612 88804 116816 131418 133206 150192 155407 175224 177608 199809 262836 266412 310814 350448 355216 399618 466221 525672 532824 621628 799236 932442 1051344 1065648 1087849 1243256 1398663 1598472 1864884 2175698 2486512 2797326 3196944 3263547 3729768 4351396 5594652 6527094 7459536 8702792 9790641 11189304 13054188 17405584 19581282 22378608 26108376 39162564 52216752 78325128 156650256