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402604225 = 5240132
BaseRepresentation
bin10111111111110…
…100000011000001
31001001120102011121
4113333310003001
51311031313400
6103541112241
712656036152
oct2777640301
91031512147
10402604225
11197294571
12b29b8681
1365543a6a
143b681929
152552a21a
hex17ff40c1

402604225 has 9 divisors (see below), whose sum is σ = 499353673. Its totient is φ = 322003120.

The previous prime is 402604207. The next prime is 402604291. The reversal of 402604225 is 522406204.

The square root of 402604225 is 20065.

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 20948929 + 381655296 = 4577^2 + 19536^2 .

It is a de Polignac number, because none of the positive numbers 2k-402604225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 402604225.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 98319 + ... + 102331.

Almost surely, 2402604225 is an apocalyptic number.

402604225 is the 20065-th square number.

402604225 is the 10033-rd centered octagonal number.

It is an amenable number.

402604225 is a deficient number, since it is larger than the sum of its proper divisors (96749448).

402604225 is an frugal number, since it uses more digits than its factorization.

402604225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8036 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 402604225 is about 738.4018499001.

Multiplying 402604225 by its sum of digits (25), we get a square (10065105625 = 1003252).

402604225 divided by its sum of digits (25) gives a square (16104169 = 40132).

The spelling of 402604225 in words is "four hundred two million, six hundred four thousand, two hundred twenty-five".

Divisors: 1 5 25 4013 20065 100325 16104169 80520845 402604225