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644425056 = 253211203417
BaseRepresentation
bin100110011010010…
…010010101100000
31122220121011222200
4212122102111200
52304433100211
6143540133200
721653344152
oct4632222540
91586534880
10644425056
113008410a0
1215b997200
13a3681602
146182cad2
153b895b56
hex26692560

644425056 has 72 divisors (see below), whose sum is σ = 1999192104. Its totient is φ = 195279360.

The previous prime is 644425043. The next prime is 644425057. The reversal of 644425056 is 650524446.

644425056 is a `hidden beast` number, since 644 + 4 + 2 + 5 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 644425056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644425057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98541 + ... + 104876.

It is an arithmetic number, because the mean of its divisors is an integer number (27766557).

Almost surely, 2644425056 is an apocalyptic number.

644425056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

644425056 is an abundant number, since it is smaller than the sum of its proper divisors (1354767048).

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

644425056 is a wasteful number, since it uses less digits than its factorization.

644425056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203444 (or 203433 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 644425056 is about 25385.5284758856. The cubic root of 644425056 is about 863.7554606295.

The spelling of 644425056 in words is "six hundred forty-four million, four hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 203417 406834 610251 813668 1220502 1627336 1830753 2237587 2441004 3254672 3661506 4475174 4882008 6509344 6712761 7323012 8950348 9764016 13425522 14646024 17900696 19528032 20138283 26851044 29292048 35801392 40276566 53702088 58584096 71602784 80553132 107404176 161106264 214808352 322212528 644425056