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625207680 = 2733597373
BaseRepresentation
bin100101010000111…
…110100110000000
31121120102211201000
4211100332212000
52240023121210
6142012212000
721331114626
oct4520764600
91546384630
10625207680
112a0a05869
1215546a000
139c6b3496
145d069516
1539d4bac0
hex2543e980

625207680 has 256 divisors, whose sum is σ = 2243102400. Its totient is φ = 164560896.

The previous prime is 625207669. The next prime is 625207699. The reversal of 625207680 is 86702526.

625207680 is a `hidden beast` number, since 62 + 520 + 76 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1675974 + ... + 1676346.

Almost surely, 2625207680 is an apocalyptic number.

625207680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121551200).

625207680 is an abundant number, since it is smaller than the sum of its proper divisors (1617894720).

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

625207680 is a wasteful number, since it uses less digits than its factorization.

625207680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 625207680 is about 25004.1532550095. The cubic root of 625207680 is about 855.0826635989.

The spelling of 625207680 in words is "six hundred twenty-five million, two hundred seven thousand, six hundred eighty".