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644020656 = 243171941539
BaseRepresentation
bin100110011000101…
…111100110110000
31122212211122020220
4212120233212300
52304332130111
6143523333040
721650041146
oct4630574660
91585748226
10644020656
11300595284
1215b821180
13a356c516
1461765596
153b815e06
hex2662f9b0

644020656 has 80 divisors (see below), whose sum is σ = 1854345600. Its totient is φ = 191407104.

The previous prime is 644020651. The next prime is 644020679. The reversal of 644020656 is 656020446.

644020656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (644020651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5266 + ... + 36273.

It is an arithmetic number, because the mean of its divisors is an integer number (23179320).

Almost surely, 2644020656 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 644020656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927172800).

644020656 is an abundant number, since it is smaller than the sum of its proper divisors (1210324944).

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

644020656 is a wasteful number, since it uses less digits than its factorization.

644020656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41586 (or 41580 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 644020656 is about 25377.5620578494. The cubic root of 644020656 is about 863.5747435716.

The spelling of 644020656 in words is "six hundred forty-four million, twenty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 152 204 228 272 304 323 408 456 646 816 912 969 1292 1938 2584 3876 5168 7752 15504 41539 83078 124617 166156 249234 332312 498468 664624 706163 789241 996936 1412326 1578482 1993872 2118489 2367723 2824652 3156964 4236978 4735446 5649304 6313928 8473956 9470892 11298608 12627856 13417097 16947912 18941784 26834194 33895824 37883568 40251291 53668388 80502582 107336776 161005164 214673552 322010328 644020656