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268924025 = 5228138281
BaseRepresentation
bin10000000001110…
…111010001111001
3200202000202102002
4100001313101321
51022321032100
642403550345
76443550026
oct2001672171
9622022362
10268924025
11128889667
127608b3b5
134393a156
1427a0454d
15189212d5
hex10077479

268924025 has 12 divisors (see below), whose sum is σ = 334661244. Its totient is φ = 214368000.

The previous prime is 268924009. The next prime is 268924031. The reversal of 268924025 is 520429862.

It can be written as a sum of positive squares in 6 ways, for example, as 17606416 + 251317609 = 4196^2 + 15853^2 .

It is not a de Polignac number, because 268924025 - 24 = 268924009 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

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 268924025.

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 11 ways as a sum of consecutive naturals, for example, 12116 + ... + 26165.

It is an arithmetic number, because the mean of its divisors is an integer number (27888437).

Almost surely, 2268924025 is an apocalyptic number.

268924025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

268924025 is a deficient number, since it is larger than the sum of its proper divisors (65737219).

268924025 is a wasteful number, since it uses less digits than its factorization.

268924025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38572 (or 38567 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 268924025 is about 16398.9031645412. The cubic root of 268924025 is about 645.4707018222.

The spelling of 268924025 in words is "two hundred sixty-eight million, nine hundred twenty-four thousand, twenty-five".

Divisors: 1 5 25 281 1405 7025 38281 191405 957025 10756961 53784805 268924025