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625505328 = 2436747163
BaseRepresentation
bin100101010010000…
…111010000110000
31121120222222000000
4211102013100300
52240112132303
6142022430000
721333464460
oct4522072060
91546888000
10625505328
112a1099458
12155592300
139c788ac6
145d105ba0
1539da9da3
hex25487430

625505328 has 280 divisors, whose sum is σ = 2133815808. Its totient is φ = 173840256.

The previous prime is 625505317. The next prime is 625505333. The reversal of 625505328 is 823505526.

It is a happy number.

625505328 is a `hidden beast` number, since 625 + 5 + 0 + 5 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 625505292 and 625505301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3837375 + ... + 3837537.

Almost surely, 2625505328 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 625505328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066907904).

625505328 is an abundant number, since it is smaller than the sum of its proper divisors (1508310480).

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

625505328 is a wasteful number, since it uses less digits than its factorization.

625505328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 625505328 is about 25010.1045179743. The cubic root of 625505328 is about 855.2183375911.

The spelling of 625505328 in words is "six hundred twenty-five million, five hundred five thousand, three hundred twenty-eight".