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625376640 = 27357193179
BaseRepresentation
bin100101010001100…
…111110110000000
31121120202102110210
4211101213312000
52240044023030
6142015554120
721332420340
oct4521476600
91546672423
10625376640
112a10107a9
1215552b940
139c742365
145d0b0d20
1539d81bb0
hex25467d80

625376640 has 512 divisors, whose sum is σ = 2506752000. Its totient is φ = 129392640.

The previous prime is 625376611. The next prime is 625376657. The reversal of 625376640 is 46673526.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7916121 + ... + 7916199.

It is an arithmetic number, because the mean of its divisors is an integer number (4896000).

Almost surely, 2625376640 is an apocalyptic number.

625376640 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 625376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253376000).

625376640 is an abundant number, since it is smaller than the sum of its proper divisors (1881375360).

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

625376640 is a wasteful number, since it uses less digits than its factorization.

625376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 625376640 is about 25007.5316654803. The cubic root of 625376640 is about 855.1596842747.

The spelling of 625376640 in words is "six hundred twenty-five million, three hundred seventy-six thousand, six hundred forty".