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152656413 = 372131737127
BaseRepresentation
bin10010001100101…
…01101000011101
3101122020202020020
421012111220131
5303040001123
623051542353
73532362300
oct1106255035
9348222206
10152656413
1179197028
124315a9b9
132581c050
14163bab37
15d6067e3
hex9195a1d

152656413 has 96 divisors (see below), whose sum is σ = 279465984. Its totient is φ = 73156608.

The previous prime is 152656409. The next prime is 152656417. The reversal of 152656413 is 314656251.

It is an interprime number because it is at equal distance from previous prime (152656409) and next prime (152656417).

It is not a de Polignac number, because 152656413 - 22 = 152656409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152656417) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1201956 + ... + 1202082.

It is an arithmetic number, because the mean of its divisors is an integer number (2911104).

Almost surely, 2152656413 is an apocalyptic number.

152656413 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

152656413 is a deficient number, since it is larger than the sum of its proper divisors (126809571).

152656413 is a wasteful number, since it uses less digits than its factorization.

152656413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 204 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 152656413 is about 12355.4203894485. The cubic root of 152656413 is about 534.4474605204.

The spelling of 152656413 in words is "one hundred fifty-two million, six hundred fifty-six thousand, four hundred thirteen".

Divisors: 1 3 7 13 17 21 37 39 49 51 91 111 119 127 147 221 259 273 357 381 481 629 637 663 777 833 889 1443 1547 1651 1813 1887 1911 2159 2499 2667 3367 4403 4641 4699 4953 5439 6223 6477 8177 10101 10829 11557 13209 14097 15113 18669 23569 24531 28067 30821 32487 32893 34671 45339 57239 61087 70707 79883 80899 84201 92463 98679 105791 171717 183261 196469 230251 239649 242697 317373 400673 427609 559181 589407 690753 1038479 1202019 1282827 1375283 1677543 2993263 3115437 3914267 4125849 7269353 8979789 11742801 21808059 50885471 152656413