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358913025 = 34524212
BaseRepresentation
bin10101011001001…
…001010000000001
3221000100200010000
4111121021100001
51213340204100
655340430213
711615465442
oct2531112001
9830320100
10358913025
11174662739
12a0248369
1359487093
143594b2c9
1521799900
hex15649401

358913025 has 45 divisors (see below), whose sum is σ = 666413913. Its totient is φ = 190965600.

The previous prime is 358913003. The next prime is 358913053. The reversal of 358913025 is 520319853.

The square root of 358913025 is 18945.

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 205549569 + 153363456 = 14337^2 + 12384^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 358913025 - 217 = 358781953 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 852315 + ... + 852735.

Almost surely, 2358913025 is an apocalyptic number.

358913025 is the 18945-th square number.

358913025 is the 9473-rd centered octagonal number.

It is an amenable number.

358913025 is a deficient number, since it is larger than the sum of its proper divisors (307500888).

358913025 is an frugal number, since it uses more digits than its factorization.

358913025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The cubic root of 358913025 is about 710.6619661084.

Multiplying 358913025 by its sum of digits (36), we get a square (12920868900 = 1136702).

Multiplying 358913025 by its product of nonzero digits (32400), we get a square (11628782010000 = 34101002).

The spelling of 358913025 in words is "three hundred fifty-eight million, nine hundred thirteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 421 675 1263 2025 2105 3789 6315 10525 11367 18945 31575 34101 56835 94725 170505 177241 284175 531723 852525 886205 1595169 2658615 4431025 4785507 7975845 13293075 14356521 23927535 39879225 71782605 119637675 358913025