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290532025 = 52724872
BaseRepresentation
bin10001010100010…
…010101010111001
3202020200120000101
4101110102222321
51043334011100
644455035401
710125324100
oct2124225271
9666616011
10290532025
11139aa8013
128136bb61
1348264454
142a82b037
151a78d86a
hex11512ab9

290532025 has 27 divisors (see below), whose sum is σ = 419939919. Its totient is φ = 198812880.

The previous prime is 290532013. The next prime is 290532083. The reversal of 290532025 is 520235092.

The square root of 290532025 is 17045.

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., 104591529 + 185940496 = 10227^2 + 13636^2 .

It is not a de Polignac number, because 290532025 - 215 = 290499257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 290531984 and 290532002.

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, 596332 + ... + 596818.

Almost surely, 2290532025 is an apocalyptic number.

290532025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

290532025 is the 17045-th square number.

290532025 is the 8523-rd centered octagonal number.

It is an amenable number.

290532025 is a deficient number, since it is larger than the sum of its proper divisors (129407894).

290532025 is an frugal number, since it uses more digits than its factorization.

290532025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The cubic root of 290532025 is about 662.3151210713.

The spelling of 290532025 in words is "two hundred ninety million, five hundred thirty-two thousand, twenty-five".

Divisors: 1 5 7 25 35 49 175 245 487 1225 2435 3409 12175 17045 23863 85225 119315 237169 596575 1185845 1660183 5929225 8300915 11621281 41504575 58106405 290532025