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644905638 = 234131971227
BaseRepresentation
bin100110011100000…
…111101010100110
31122221111121020000
4212130013222212
52310043440023
6143554322130
721660415236
oct4634075246
91587447200
10644905638
1130103a173
1215bb89346
13a37bc290
1461915cc6
153b93d243
hex26707aa6

644905638 has 160 divisors (see below), whose sum is σ = 1668522240. Its totient is φ = 184524480.

The previous prime is 644905633. The next prime is 644905649. The reversal of 644905638 is 836509446.

644905638 is a `hidden beast` number, since 6 + 4 + 4 + 9 + 0 + 5 + 638 = 666.

644905638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 644905593 and 644905602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644905633) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2840881 + ... + 2841107.

It is an arithmetic number, because the mean of its divisors is an integer number (10428264).

Almost surely, 2644905638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644905638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834261120).

644905638 is an abundant number, since it is smaller than the sum of its proper divisors (1023616602).

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

644905638 is a wasteful number, since it uses less digits than its factorization.

644905638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 644905638 is about 25394.9923803887. The cubic root of 644905638 is about 863.9701233882.

The spelling of 644905638 in words is "six hundred forty-four million, nine hundred five thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 71 78 81 114 117 142 162 171 213 227 234 247 342 351 426 454 494 513 639 681 702 741 923 1026 1053 1278 1349 1362 1482 1539 1846 1917 2043 2106 2223 2698 2769 2951 3078 3834 4047 4086 4313 4446 5538 5751 5902 6129 6669 8094 8307 8626 8853 11502 12141 12258 12939 13338 16117 16614 17537 17706 18387 20007 24282 24921 25878 26559 32234 35074 36423 36774 38817 40014 48351 49842 52611 53118 56069 72846 74763 77634 79677 96702 105222 109269 112138 116451 145053 149526 157833 159354 168207 209521 218538 232902 239031 290106 306223 315666 336414 349353 419042 435159 473499 478062 504621 612446 628563 698706 870318 918669 946998 1009242 1257126 1305477 1420497 1513863 1837338 1885689 2610954 2756007 2840994 3027726 3771378 3980899 4541589 5512014 5657067 7961798 8268021 9083178 11314134 11942697 16536042 16971201 23885394 24804063 33942402 35828091 49608126 71656182 107484273 214968546 322452819 644905638