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152555652 = 223210141957
BaseRepresentation
bin10010001011111…
…01000010000100
3101122001122000100
421011331002010
5303023240102
623045444100
73531462444
oct1105750204
9348048010
10152555652
1179128357
1243110630
13257b5222
1416392124
15d5d6a1c
hex917d084

152555652 has 36 divisors (see below), whose sum is σ = 389454156. Its totient is φ = 50347200.

The previous prime is 152555639. The next prime is 152555659. The reversal of 152555652 is 256555251.

152555652 is a `hidden beast` number, since 1 + 52 + 5 + 556 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121352256 + 31203396 = 11016^2 + 5586^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (152555659) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 17343 + ... + 24614.

It is an arithmetic number, because the mean of its divisors is an integer number (10818171).

Almost surely, 2152555652 is an apocalyptic number.

152555652 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

152555652 is an abundant number, since it is smaller than the sum of its proper divisors (236898504).

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

152555652 is a wasteful number, since it uses less digits than its factorization.

152555652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42068 (or 42063 counting only the distinct ones).

The product of its digits is 75000, while the sum is 36.

The square root of 152555652 is about 12351.3421133090. The cubic root of 152555652 is about 534.3298471339.

The spelling of 152555652 in words is "one hundred fifty-two million, five hundred fifty-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 101 202 303 404 606 909 1212 1818 3636 41957 83914 125871 167828 251742 377613 503484 755226 1510452 4237657 8475314 12712971 16950628 25425942 38138913 50851884 76277826 152555652