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625418640 = 2432571129389
BaseRepresentation
bin100101010001110…
…010000110010000
31121120211120002100
4211101302012100
52240101344030
6142020520400
721332653650
oct4521620620
91546746070
10625418640
112a103a310
12155550100
139c758502
145d0c2360
1539d8e360
hex25472190

625418640 has 480 divisors, whose sum is σ = 2715897600. Its totient is φ = 125153280.

The previous prime is 625418621. The next prime is 625418641. The reversal of 625418640 is 46814526.

625418640 is a `hidden beast` number, since 6 + 2 + 5 + 4 + 1 + 8 + 640 = 666.

It is a super-2 number, since 2×6254186402 = 782296950518899200, which contains 22 as substring.

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 = 625418595 and 625418604.

It is not an unprimeable number, because it can be changed into a prime (625418641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1607566 + ... + 1607954.

It is an arithmetic number, because the mean of its divisors is an integer number (5658120).

Almost surely, 2625418640 is an apocalyptic number.

625418640 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 625418640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357948800).

625418640 is an abundant number, since it is smaller than the sum of its proper divisors (2090478960).

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

625418640 is a wasteful number, since it uses less digits than its factorization.

625418640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 625418640 is about 25008.3713983938. The cubic root of 625418640 is about 855.1788278865.

The spelling of 625418640 in words is "six hundred twenty-five million, four hundred eighteen thousand, six hundred forty".