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625065672 = 233711297317
BaseRepresentation
bin100101010000011…
…011111011001000
31121120011121220110
4211100123323020
52240004100142
6142005154320
721326653620
oct4520337310
91546147813
10625065672
112a0919100
121553bb9a0
139c66395a
145d02d880
1539d1e99c
hex2541bec8

625065672 has 192 divisors, whose sum is σ = 1989509760. Its totient is φ = 160174080.

The previous prime is 625065671. The next prime is 625065677. The reversal of 625065672 is 276560526.

It is a super-3 number, since 3×6250656723 (a number of 27 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 625065672.

It is not an unprimeable number, because it can be changed into a prime (625065671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1971658 + ... + 1971974.

It is an arithmetic number, because the mean of its divisors is an integer number (10362030).

Almost surely, 2625065672 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 625065672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (994754880).

625065672 is an abundant number, since it is smaller than the sum of its proper divisors (1364444088).

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

625065672 is a wasteful number, since it uses less digits than its factorization.

625065672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 625065672 is about 25001.3134054993. The cubic root of 625065672 is about 855.0179183003.

The spelling of 625065672 in words is "six hundred twenty-five million, sixty-five thousand, six hundred seventy-two".