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644083840 = 2757912739
BaseRepresentation
bin100110011000111…
…111000010000000
31122212221211221001
4212120333002000
52304341140330
6143524541344
721650423311
oct4630770200
91585854831
10644083840
113006287a4
1215b851854
13a35921ca
1461780608
153b8299ca
hex2663f080

644083840 has 64 divisors (see below), whose sum is σ = 1559376000. Its totient is φ = 254352384.

The previous prime is 644083837. The next prime is 644083849. The reversal of 644083840 is 48380446.

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

It is a self number, because there is not a number n which added to its sum of digits gives 644083840.

It is not an unprimeable number, because it can be changed into a prime (644083849) 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, 44191 + ... + 56929.

It is an arithmetic number, because the mean of its divisors is an integer number (24365250).

Almost surely, 2644083840 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 644083840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779688000).

644083840 is an abundant number, since it is smaller than the sum of its proper divisors (915292160).

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

644083840 is a wasteful number, since it uses less digits than its factorization.

644083840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12837 (or 12825 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 644083840 is about 25378.8069065510. The cubic root of 644083840 is about 863.6029840335.

The spelling of 644083840 in words is "six hundred forty-four million, eighty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 79 80 128 158 160 316 320 395 632 640 790 1264 1580 2528 3160 5056 6320 10112 12640 12739 25280 25478 50560 50956 63695 101912 127390 203824 254780 407648 509560 815296 1006381 1019120 1630592 2012762 2038240 4025524 4076480 5031905 8051048 8152960 10063810 16102096 20127620 32204192 40255240 64408384 80510480 128816768 161020960 322041920 644083840