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152825985 = 32513261241
BaseRepresentation
bin10010001101111…
…11000010000001
3101122120100211200
421012333002001
5303110412420
623055331413
73533666544
oct1106770201
9348510750
10152825985
11792a2474
1243220b69
132587b2a0
141642285b
15d63bb90
hex91bf081

152825985 has 24 divisors (see below), whose sum is σ = 285276264. Its totient is φ = 75237120.

The previous prime is 152825963. The next prime is 152825993. The reversal of 152825985 is 589528251.

It is a happy number.

152825985 is a `hidden beast` number, since 1 + 52 + 8 + 2 + 598 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18173169 + 134652816 = 4263^2 + 11604^2 .

It is not a de Polignac number, because 152825985 - 27 = 152825857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 152825985.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130036 + ... + 131205.

It is an arithmetic number, because the mean of its divisors is an integer number (11886511).

Almost surely, 2152825985 is an apocalyptic number.

152825985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

152825985 is a deficient number, since it is larger than the sum of its proper divisors (132450279).

152825985 is a wasteful number, since it uses less digits than its factorization.

152825985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261265 (or 261262 counting only the distinct ones).

The product of its digits is 288000, while the sum is 45.

The square root of 152825985 is about 12362.2807361749. The cubic root of 152825985 is about 534.6452768392.

The spelling of 152825985 in words is "one hundred fifty-two million, eight hundred twenty-five thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 261241 783723 1306205 2351169 3396133 3918615 10188399 11755845 16980665 30565197 50941995 152825985