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152661632 = 271770157
BaseRepresentation
bin10010001100101…
…10111010000000
3101122021000101112
421012112322000
5303040133012
623052022452
73532413434
oct1106267200
9348230345
10152661632
117919aa42
1243161a28
1325821536
14163bc9c4
15d608122
hex9196e80

152661632 has 32 divisors (see below), whose sum is σ = 322025220. Its totient is φ = 71839744.

The previous prime is 152661629. The next prime is 152661643. The reversal of 152661632 is 236166251.

It can be written as a sum of positive squares in 2 ways, for example, as 152374336 + 287296 = 12344^2 + 536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 3 ways as a sum of consecutive naturals, for example, 32903 + ... + 37254.

Almost surely, 2152661632 is an apocalyptic number.

It is an amenable number.

152661632 is an abundant number, since it is smaller than the sum of its proper divisors (169363588).

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

152661632 is an equidigital number, since it uses as much as digits as its factorization.

152661632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70188 (or 70176 counting only the distinct ones).

The product of its digits is 12960, while the sum is 32.

The square root of 152661632 is about 12355.6315904935. The cubic root of 152661632 is about 534.4535509939.

The spelling of 152661632 in words is "one hundred fifty-two million, six hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 70157 140314 280628 561256 1122512 1192669 2245024 2385338 4490048 4770676 8980096 9541352 19082704 38165408 76330816 152661632