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625274496 = 273272111953
BaseRepresentation
bin100101010001001…
…110111010000000
31121120120020100200
4211101032322000
52240032240441
6142013445200
721331513500
oct4521167200
91546506320
10625274496
112a0a50a90
121554a0800
139c707a12
145d085a00
1539d617b6
hex2544ee80

625274496 has 576 divisors, whose sum is σ = 2448856800. Its totient is φ = 150958080.

The previous prime is 625274473. The next prime is 625274497. The reversal of 625274496 is 694472526.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×6252744963 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (625274497) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11797606 + ... + 11797658.

Almost surely, 2625274496 is an apocalyptic number.

625274496 is a gapful number since it is divisible by the number (66) 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 625274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224428400).

625274496 is an abundant number, since it is smaller than the sum of its proper divisors (1823582304).

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

625274496 is a wasteful number, since it uses less digits than its factorization.

625274496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 625274496 is about 25005.4893173479. The cubic root of 625274496 is about 855.1131234338.

The spelling of 625274496 in words is "six hundred twenty-five million, two hundred seventy-four thousand, four hundred ninety-six".