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625096080 = 243257731699
BaseRepresentation
bin100101010000100…
…011010110010000
31121120020011121200
4211100203112100
52240011033310
6142005551200
721330141360
oct4520432620
91546204550
10625096080
112a0939a34
12155415500
139c67474b
145d03a9a0
1539d289c0
hex25423590

625096080 has 240 divisors, whose sum is σ = 2433475200. Its totient is φ = 140838912.

The previous prime is 625096063. The next prime is 625096081. The reversal of 625096080 is 80690526.

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

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

It is not an unprimeable number, because it can be changed into a prime (625096081) 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 47 ways as a sum of consecutive naturals, for example, 367071 + ... + 368769.

It is an arithmetic number, because the mean of its divisors is an integer number (10139480).

Almost surely, 2625096080 is an apocalyptic number.

625096080 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 625096080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216737600).

625096080 is an abundant number, since it is smaller than the sum of its proper divisors (1808379120).

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

625096080 is a wasteful number, since it uses less digits than its factorization.

625096080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 625096080 is about 25001.9215261547. The cubic root of 625096080 is about 855.0317829572.

The spelling of 625096080 in words is "six hundred twenty-five million, ninety-six thousand, eighty".