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152983152 = 24327151769
BaseRepresentation
bin10010001111001…
…01011001110000
3101122212100102200
421013211121300
5303130430102
623102543200
73535223010
oct1107453160
9348770380
10152983152
117939a563
1243297b00
132590499a
1416463c40
15d66d51c
hex91e5670

152983152 has 60 divisors (see below), whose sum is σ = 489306480. Its totient is φ = 43709184.

The previous prime is 152983151. The next prime is 152983157. The reversal of 152983152 is 251389251.

152983152 is a `hidden beast` number, since 1 + 529 + 83 + 1 + 52 = 666.

152983152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152983151) by changing a digit.

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, 74877 + ... + 76892.

It is an arithmetic number, because the mean of its divisors is an integer number (8155108).

Almost surely, 2152983152 is an apocalyptic number.

152983152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152983152 is an abundant number, since it is smaller than the sum of its proper divisors (336323328).

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

152983152 is a wasteful number, since it uses less digits than its factorization.

152983152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151790 (or 151781 counting only the distinct ones).

The product of its digits is 21600, while the sum is 36.

The square root of 152983152 is about 12368.6358180682. The cubic root of 152983152 is about 534.8284913310.

It can be divided in two parts, 1529 and 83152, that added together give a square (84681 = 2912).

The spelling of 152983152 in words is "one hundred fifty-two million, nine hundred eighty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 151769 303538 455307 607076 910614 1062383 1214152 1365921 1821228 2124766 2428304 2731842 3187149 3642456 4249532 5463684 6374298 7284912 8499064 9561447 10927368 12748596 16998128 19122894 21854736 25497192 38245788 50994384 76491576 152983152