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152428164 = 22378920389
BaseRepresentation
bin10010001010111…
…01111010000100
3101121211011010120
421011131322010
5303010200124
623043021540
73530421660
oct1105357204
9347734116
10152428164
1179050599
124306a8b0
132576c1a5
141635b8a0
15d5add79
hex915de84

152428164 has 48 divisors (see below), whose sum is σ = 411062400. Its totient is φ = 43059456.

The previous prime is 152428141. The next prime is 152428181. The reversal of 152428164 is 461824251.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2719 + ... + 17670.

It is an arithmetic number, because the mean of its divisors is an integer number (8563800).

Almost surely, 2152428164 is an apocalyptic number.

152428164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

152428164 is an abundant number, since it is smaller than the sum of its proper divisors (258634236).

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

152428164 is a wasteful number, since it uses less digits than its factorization.

152428164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20492 (or 20490 counting only the distinct ones).

The product of its digits is 15360, while the sum is 33.

The square root of 152428164 is about 12346.1801380022. The cubic root of 152428164 is about 534.1809623887.

The spelling of 152428164 in words is "one hundred fifty-two million, four hundred twenty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 20389 40778 61167 81556 122334 142723 244668 285446 428169 570892 856338 1712676 1814621 3629242 5443863 7258484 10887726 12702347 21775452 25404694 38107041 50809388 76214082 152428164