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6396000625 = 54724572
BaseRepresentation
bin1011111010011101…
…10011100101110001
3121111202012111102001
411331032303211301
5101044334010000
62534400254001
7314333052100
oct57516634561
917452174361
106396000625
112792414a33
1212a6011301
137ac139b71
14449652037
152767ab46a
hex17d3b3971

6396000625 has 45 divisors (see below), whose sum is σ = 9317719719. Its totient is φ = 4376232000.

The previous prime is 6396000623. The next prime is 6396000641. The reversal of 6396000625 is 5260006936.

The square root of 6396000625 is 79975.

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 2405804401 + 3990196224 = 49049^2 + 63168^2 .

It is not a de Polignac number, because 6396000625 - 21 = 6396000623 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6396000623) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13995397 + ... + 13995853.

Almost surely, 26396000625 is an apocalyptic number.

6396000625 is the 79975-th square number.

6396000625 is the 39988-th centered octagonal number.

It is an amenable number.

6396000625 is a deficient number, since it is larger than the sum of its proper divisors (2921719094).

6396000625 is an frugal number, since it uses more digits than its factorization.

6396000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The cubic root of 6396000625 is about 1856.2487142271.

The spelling of 6396000625 in words is "six billion, three hundred ninety-six million, six hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 7 25 35 49 125 175 245 457 625 875 1225 2285 3199 4375 6125 11425 15995 22393 30625 57125 79975 111965 208849 285625 399875 559825 1044245 1461943 1999375 2799125 5221225 7309715 10233601 13995625 26106125 36548575 51168005 130530625 182742875 255840025 913714375 1279200125 6396000625