Search a number
-
+
152546016 = 2537232429
BaseRepresentation
bin10010001011110…
…10101011100000
3101122001010210110
421011322223200
5303022433031
623045331320
73531422400
oct1105725340
9348033713
10152546016
1179121097
1243106b40
13257b0a1c
141638c800
15d5d3c46
hex917aae0

152546016 has 72 divisors (see below), whose sum is σ = 465824520. Its totient is φ = 43583232.

The previous prime is 152545997. The next prime is 152546021. The reversal of 152546016 is 610645251.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 11511 + ... + 20918.

It is an arithmetic number, because the mean of its divisors is an integer number (6469785).

Almost surely, 2152546016 is an apocalyptic number.

152546016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

152546016 is an abundant number, since it is smaller than the sum of its proper divisors (313278504).

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

152546016 is a wasteful number, since it uses less digits than its factorization.

152546016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32456 (or 32441 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 152546016 is about 12350.9520280827. The cubic root of 152546016 is about 534.3185967896.

The spelling of 152546016 in words is "one hundred fifty-two million, five hundred forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 32429 64858 97287 129716 194574 227003 259432 389148 454006 518864 681009 778296 908012 1037728 1362018 1556592 1589021 1816024 2724036 3113184 3178042 3632048 4767063 5448072 6356084 7264096 9534126 10896144 12712168 19068252 21792288 25424336 38136504 50848672 76273008 152546016