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644108928 = 27323233313
BaseRepresentation
bin100110011001000…
…101001010000000
31122220000010100020
4212121011022000
52304342441203
6143525253440
721650556411
oct4631051200
91586003306
10644108928
11300645631
1215b864280
13a35a0758
1461789808
153b832153
hex26645280

644108928 has 128 divisors (see below), whose sum is σ = 1798692480. Its totient is φ = 203833344.

The previous prime is 644108897. The next prime is 644108957. The reversal of 644108928 is 829801446.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6441089282 = 829752622258618368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 644108928.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2057700 + ... + 2058012.

It is an arithmetic number, because the mean of its divisors is an integer number (14052285).

Almost surely, 2644108928 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 644108928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899346240).

644108928 is an abundant number, since it is smaller than the sum of its proper divisors (1154583552).

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

644108928 is a wasteful number, since it uses less digits than its factorization.

644108928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 644108928 is about 25379.3011724121. The cubic root of 644108928 is about 863.6141967510.

The spelling of 644108928 in words is "six hundred forty-four million, one hundred eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 233 276 313 368 384 466 552 626 699 736 932 939 1104 1252 1398 1472 1864 1878 2208 2504 2796 2944 3728 3756 4416 5008 5359 5592 7199 7456 7512 8832 10016 10718 11184 14398 14912 15024 16077 20032 21436 21597 22368 28796 29824 30048 32154 40064 42872 43194 44736 57592 60096 64308 72929 85744 86388 89472 115184 120192 128616 145858 171488 172776 218787 230368 257232 291716 342976 345552 437574 460736 514464 583432 685952 691104 875148 921472 1028928 1166864 1382208 1677367 1750296 2057856 2333728 2764416 3354734 3500592 4667456 5032101 6709468 7001184 9334912 10064202 13418936 14002368 20128404 26837872 28004736 40256808 53675744 80513616 107351488 161027232 214702976 322054464 644108928