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10287030625 = 5440572
BaseRepresentation
bin10011001010010011…
…11010000101100001
3222112220212022010021
421211021322011201
5132031434440000
64420434433441
7512631213634
oct114511720541
928486768107
1010287030625
1143a9840403
121bb1132881
13c7c2c6c91
146d831bc1b
154031a911a
hex26527a161

10287030625 has 15 divisors (see below), whose sum is σ = 12857842767. Its totient is φ = 8227596000.

The previous prime is 10287030617. The next prime is 10287030641. The reversal of 10287030625 is 52603078201.

It is a happy number.

The square root of 10287030625 is 101425.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 7797419809 + 2489610816 = 88303^2 + 49896^2 .

It is not a de Polignac number, because 10287030625 - 23 = 10287030617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2533597 + ... + 2537653.

Almost surely, 210287030625 is an apocalyptic number.

10287030625 is the 101425-th square number.

10287030625 is the 50713-rd centered octagonal number.

It is an amenable number.

10287030625 is a deficient number, since it is larger than the sum of its proper divisors (2570812142).

10287030625 is an frugal number, since it uses more digits than its factorization.

10287030625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134 (or 4062 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The spelling of 10287030625 in words is "ten billion, two hundred eighty-seven million, thirty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 4057 20285 101425 507125 2535625 16459249 82296245 411481225 2057406125 10287030625