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644466048 = 2734393823
BaseRepresentation
bin100110011010011…
…100010110000000
31122220200021012220
4212122130112000
52304440403143
6143541051040
721653604522
oct4632342600
91586607186
10644466048
11300869976
1215b9b6a80
13a3697175
146183da12
153b8a2d83
hex2669c580

644466048 has 64 divisors (see below), whose sum is σ = 1716211200. Its totient is φ = 214276608.

The previous prime is 644466047. The next prime is 644466079. The reversal of 644466048 is 840664446.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644466041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166665 + ... + 170487.

It is an arithmetic number, because the mean of its divisors is an integer number (26815800).

Almost surely, 2644466048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644466048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858105600).

644466048 is an abundant number, since it is smaller than the sum of its proper divisors (1071745152).

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

644466048 is a wasteful number, since it uses less digits than its factorization.

644466048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4267 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 42.

The square root of 644466048 is about 25386.3358521863. The cubic root of 644466048 is about 863.7737747908.

The spelling of 644466048 in words is "six hundred forty-four million, four hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 439 878 1317 1756 2634 3512 3823 5268 7024 7646 10536 11469 14048 15292 21072 22938 28096 30584 42144 45876 56192 61168 84288 91752 122336 168576 183504 244672 367008 489344 734016 1468032 1678297 3356594 5034891 6713188 10069782 13426376 20139564 26852752 40279128 53705504 80558256 107411008 161116512 214822016 322233024 644466048