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642876025 = 521124612
BaseRepresentation
bin100110010100011…
…000001001111001
31122210200111010011
4212110120021321
52304034013100
6143443021521
721634233061
oct4624301171
91583614104
10642876025
112aa983300
1215b36a8a1
13a325b51c
14615483a1
153b68bbba
hex26518279

642876025 has 27 divisors (see below), whose sum is σ = 878128909. Its totient is φ = 466532000.

The previous prime is 642875993. The next prime is 642876037. The reversal of 642876025 is 520678246.

The square root of 642876025 is 25355.

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 65723449 + 577152576 = 8107^2 + 24024^2 .

It is not a de Polignac number, because 642876025 - 25 = 642875993 is a prime.

It is a Duffinian 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, 1394295 + ... + 1394755.

Almost surely, 2642876025 is an apocalyptic number.

642876025 is the 25355-th square number.

642876025 is the 12678-th centered octagonal number.

It is an amenable number.

642876025 is a deficient number, since it is larger than the sum of its proper divisors (235252884).

642876025 is an equidigital number, since it uses as much as digits as its factorization.

642876025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The cubic root of 642876025 is about 863.0628238561.

The spelling of 642876025 in words is "six hundred forty-two million, eight hundred seventy-six thousand, twenty-five".

Divisors: 1 5 11 25 55 121 275 461 605 2305 3025 5071 11525 25355 55781 126775 212521 278905 1062605 1394525 2337731 5313025 11688655 25715041 58443275 128575205 642876025