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152399025 = 32528232
BaseRepresentation
bin10010001010101…
…10110010110001
3101121202200011100
421011112302301
5303003232100
623042235013
73530241012
oct1105266261
9347680140
10152399025
1179030709
1243055a69
132575bb4c
1416351009
15d5a5400
hex9156cb1

152399025 has 27 divisors (see below), whose sum is σ = 273295659. Its totient is φ = 81180720.

The previous prime is 152399017. The next prime is 152399047. The reversal of 152399025 is 520993251.

It is a happy number.

The square root of 152399025 is 12345.

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

It can be written as a sum of positive squares in only one way, i.e., 54863649 + 97535376 = 7407^2 + 9876^2 .

It is not a de Polignac number, because 152399025 - 23 = 152399017 is a prime.

It is a Curzon 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 26 ways as a sum of consecutive naturals, for example, 184764 + ... + 185586.

Almost surely, 2152399025 is an apocalyptic number.

152399025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

152399025 is the 12345-th square number.

152399025 is the 6173-rd centered octagonal number.

It is an amenable number.

152399025 is a deficient number, since it is larger than the sum of its proper divisors (120896634).

152399025 is an frugal number, since it uses more digits than its factorization.

152399025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 831 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The cubic root of 152399025 is about 534.1469212364.

Multiplying 152399025 by its sum of digits (36), we get a square (5486364900 = 740702).

The spelling of 152399025 in words is "one hundred fifty-two million, three hundred ninety-nine thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 823 2469 4115 7407 12345 20575 37035 61725 185175 677329 2031987 3386645 6095961 10159935 16933225 30479805 50799675 152399025