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152646025 = 52723532
BaseRepresentation
bin10010001100100…
…11000110001001
3101122020012222111
421012103012021
5303034133100
623051422321
73532320100
oct1106230611
9348205874
10152646025
117918a244
12431549a1
13258173bc
14163b7037
15d6036ba
hex9193189

152646025 has 27 divisors (see below), whose sum is σ = 220809621. Its totient is φ = 104375040.

The previous prime is 152646023. The next prime is 152646029. The reversal of 152646025 is 520646251.

The square root of 152646025 is 12355.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8357881 + 144288144 = 2891^2 + 12012^2 .

It is not a de Polignac number, because 152646025 - 21 = 152646023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152646023) 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 26 ways as a sum of consecutive naturals, for example, 432249 + ... + 432601.

Almost surely, 2152646025 is an apocalyptic number.

152646025 is the 12355-th square number.

152646025 is the 6178-th centered octagonal number.

It is an amenable number.

152646025 is a deficient number, since it is larger than the sum of its proper divisors (68163596).

152646025 is an frugal number, since it uses more digits than its factorization.

152646025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The cubic root of 152646025 is about 534.4353375094.

Multiplying 152646025 by its product of nonzero digits (14400), we get a square (2198102760000 = 14826002).

The spelling of 152646025 in words is "one hundred fifty-two million, six hundred forty-six thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 353 1225 1765 2471 8825 12355 17297 61775 86485 124609 432425 623045 872263 3115225 4361315 6105841 21806575 30529205 152646025