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625890496 = 267111731241
BaseRepresentation
bin100101010011100…
…101010011000000
31121121201112100111
4211103211103000
52240211443441
6142035001104
721336660430
oct4523452300
91547645314
10625890496
112a1331880
12155739194
139c89220a
145d1a62c0
1539e34081
hex254e54c0

625890496 has 224 divisors, whose sum is σ = 1699467264. Its totient is φ = 221184000.

The previous prime is 625890491. The next prime is 625890509. The reversal of 625890496 is 694098526.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (625890491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596936 + ... + 2597176.

Almost surely, 2625890496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849733632).

625890496 is an abundant number, since it is smaller than the sum of its proper divisors (1073576768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

625890496 is a wasteful number, since it uses less digits than its factorization.

625890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 49.

The square root of 625890496 is about 25017.8035806503. The cubic root of 625890496 is about 855.3938411042.

The spelling of 625890496 in words is "six hundred twenty-five million, eight hundred ninety thousand, four hundred ninety-six".