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625430688 = 25361710559
BaseRepresentation
bin100101010001110…
…101000010100000
31121120212011121120
4211101311002200
52240102240223
6142021052240
721333034041
oct4521650240
91546764546
10625430688
112a1048373
12155557080
139c760b3c
145d0c68c8
1539d92be3
hex254750a0

625430688 has 48 divisors (see below), whose sum is σ = 1644572160. Its totient is φ = 208119296.

The previous prime is 625430681. The next prime is 625430717. The reversal of 625430688 is 886034526.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (625430681) 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 7 ways as a sum of consecutive naturals, for example, 53953 + ... + 64511.

It is an arithmetic number, because the mean of its divisors is an integer number (34261920).

Almost surely, 2625430688 is an apocalyptic number.

It is an amenable number.

625430688 is an abundant number, since it is smaller than the sum of its proper divisors (1019141472).

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

625430688 is a wasteful number, since it uses less digits than its factorization.

625430688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11189 (or 11181 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 625430688 is about 25008.6122765738. The cubic root of 625430688 is about 855.1843192100.

The spelling of 625430688 in words is "six hundred twenty-five million, four hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 617 1234 1851 2468 3702 4936 7404 9872 10559 14808 19744 21118 29616 31677 42236 59232 63354 84472 126708 168944 253416 337888 506832 1013664 6514903 13029806 19544709 26059612 39089418 52119224 78178836 104238448 156357672 208476896 312715344 625430688