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152656431 = 3192314547
BaseRepresentation
bin10010001100101…
…01101000101111
3101122020202020220
421012111220233
5303040001211
623051542423
73532362324
oct1106255057
9348222226
10152656431
1179197044
124315aa13
132581c065
14163bab4b
15d606806
hex9195a2f

152656431 has 24 divisors (see below), whose sum is σ = 221796864. Its totient is φ = 93283920.

The previous prime is 152656421. The next prime is 152656453. The reversal of 152656431 is 134656251.

152656431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152656431 - 210 = 152655407 is a prime.

It is a super-2 number, since 2×1526564312 = 46607971851315522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 152656392 and 152656401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152656421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31300 + ... + 35846.

It is an arithmetic number, because the mean of its divisors is an integer number (9241536).

Almost surely, 2152656431 is an apocalyptic number.

152656431 is a deficient number, since it is larger than the sum of its proper divisors (69140433).

152656431 is a wasteful number, since it uses less digits than its factorization.

152656431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4619 (or 4600 counting only the distinct ones).

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

The square root of 152656431 is about 12355.4211178737. The cubic root of 152656431 is about 534.4474815263.

The spelling of 152656431 in words is "one hundred fifty-two million, six hundred fifty-six thousand, four hundred thirty-one".

Divisors: 1 3 19 31 57 93 361 589 1083 1767 4547 11191 13641 33573 86393 140957 259179 422871 1641467 2678183 4924401 8034549 50885477 152656431