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152965845 = 3253399241
BaseRepresentation
bin10010001111000…
…01001011010101
3101122211110200200
421013201023111
5303124401340
623102331113
73535121364
oct1107411325
9348743620
10152965845
117938855a
1243289a99
13258c9b46
141645b7db
15d668330
hex91e12d5

152965845 has 12 divisors (see below), whose sum is σ = 265140876. Its totient is φ = 81581760.

The previous prime is 152965831. The next prime is 152965859. The reversal of 152965845 is 548569251.

It is an interprime number because it is at equal distance from previous prime (152965831) and next prime (152965859).

It can be written as a sum of positive squares in 2 ways, for example, as 23415921 + 129549924 = 4839^2 + 11382^2 .

It is not a de Polignac number, because 152965845 - 24 = 152965829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3399241 = 152965845 / (1 + 5 + 2 + 9 + 6 + 5 + 8 + 4 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 152965845.

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, 1699576 + ... + 1699665.

It is an arithmetic number, because the mean of its divisors is an integer number (22095073).

Almost surely, 2152965845 is an apocalyptic number.

152965845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152965845 is a deficient number, since it is larger than the sum of its proper divisors (112175031).

152965845 is a wasteful number, since it uses less digits than its factorization.

152965845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3399252 (or 3399249 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 152965845 is about 12367.9361657473. The cubic root of 152965845 is about 534.8083221693.

The spelling of 152965845 in words is "one hundred fifty-two million, nine hundred sixty-five thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 45 3399241 10197723 16996205 30593169 50988615 152965845