Search a number
-
+
152313664 = 263176771
BaseRepresentation
bin10010001010000…
…01111101000000
3101121121100001211
421011001331000
5302443014124
623040335504
73526434106
oct1105017500
9347540054
10152313664
1178a82568
1243014594
132572c039
141632bc76
15d589e94
hex9141f40

152313664 has 28 divisors (see below), whose sum is σ = 312001408. Its totient is φ = 73699200.

The previous prime is 152313661. The next prime is 152313691. The reversal of 152313664 is 466313251.

It is a super-2 number, since 2×1523136642 = 46398904482209792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152313661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36402 + ... + 40369.

Almost surely, 2152313664 is an apocalyptic number.

It is an amenable number.

152313664 is an abundant number, since it is smaller than the sum of its proper divisors (159687744).

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

152313664 is an equidigital number, since it uses as much as digits as its factorization.

152313664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76814 (or 76804 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 152313664 is about 12341.5422050893. The cubic root of 152313664 is about 534.0471746865.

The spelling of 152313664 in words is "one hundred fifty-two million, three hundred thirteen thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 248 496 992 1984 76771 153542 307084 614168 1228336 2379901 2456672 4759802 4913344 9519604 19039208 38078416 76156832 152313664