Search a number
-
+
644620896 = 25333112399
BaseRepresentation
bin100110011011000…
…010001001100000
31122220222010122000
4212123002021200
52310010332041
6143544244000
721655121133
oct4633021140
91586863560
10644620896
11300965247
1215ba70600
13a371c7aa
146188021a
153b8d3bb6
hex266c2260

644620896 has 96 divisors (see below), whose sum is σ = 1886976000. Its totient is φ = 214093440.

The previous prime is 644620891. The next prime is 644620939. The reversal of 644620896 is 698026446.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644620891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267505 + ... + 269903.

It is an arithmetic number, because the mean of its divisors is an integer number (19656000).

Almost surely, 2644620896 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 644620896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943488000).

644620896 is an abundant number, since it is smaller than the sum of its proper divisors (1242355104).

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

644620896 is a wasteful number, since it uses less digits than its factorization.

644620896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2715 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 644620896 is about 25389.3854986685. The cubic root of 644620896 is about 863.8429498496.

The spelling of 644620896 in words is "six hundred forty-four million, six hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 311 432 622 864 933 1244 1866 2399 2488 2799 3732 4798 4976 5598 7197 7464 8397 9596 9952 11196 14394 14928 16794 19192 21591 22392 28788 29856 33588 38384 43182 44784 57576 64773 67176 76768 86364 89568 115152 129546 134352 172728 230304 259092 268704 345456 518184 690912 746089 1036368 1492178 2072736 2238267 2984356 4476534 5968712 6714801 8953068 11937424 13429602 17906136 20144403 23874848 26859204 35812272 40288806 53718408 71624544 80577612 107436816 161155224 214873632 322310448 644620896