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625099680 = 25345139347
BaseRepresentation
bin100101010000100…
…100001110100000
31121120020100120000
4211100210032200
52240011142210
6142010020000
721330155022
oct4520441640
91546210500
10625099680
112a0941707
12155417600
139c67628a
145d03c012
1539d29ac0
hex254243a0

625099680 has 240 divisors, whose sum is σ = 2228355360. Its totient is φ = 165017088.

The previous prime is 625099679. The next prime is 625099703. The reversal of 625099680 is 86990526.

625099680 is a `hidden beast` number, since 62 + 509 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6250996802 = 781499219872204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1801267 + ... + 1801613.

It is an arithmetic number, because the mean of its divisors is an integer number (9284814).

Almost surely, 2625099680 is an apocalyptic number.

625099680 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 625099680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1114177680).

625099680 is an abundant number, since it is smaller than the sum of its proper divisors (1603255680).

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

625099680 is a wasteful number, since it uses less digits than its factorization.

625099680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 625099680 is about 25001.9935205175. The cubic root of 625099680 is about 855.0334243628.

The spelling of 625099680 in words is "six hundred twenty-five million, ninety-nine thousand, six hundred eighty".