Search a number
-
+
644165456 = 241143471811
BaseRepresentation
bin100110011001010…
…010111101010000
31122220002222212212
4212121102331100
52304401243311
6143530411252
721651213254
oct4631227520
91586088785
10644165456
11300684050
1215b890b28
13a35c03bc
14617a2264
153b843c8b
hex26652f50

644165456 has 80 divisors (see below), whose sum is σ = 1423623168. Its totient is φ = 279753600.

The previous prime is 644165443. The next prime is 644165477. The reversal of 644165456 is 654561446.

Its product of digits (345600) is a multiple of the sum of its prime factors (1920).

It is a congruent number.

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, 354791 + ... + 356601.

Almost surely, 2644165456 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 644165456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711811584).

644165456 is an abundant number, since it is smaller than the sum of its proper divisors (779457712).

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

644165456 is a wasteful number, since it uses less digits than its factorization.

644165456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its digits is 345600, while the sum is 41.

The square root of 644165456 is about 25380.4148114250. The cubic root of 644165456 is about 863.6394600530.

The spelling of 644165456 in words is "six hundred forty-four million, one hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 43 44 47 86 88 94 172 176 188 344 376 473 517 688 752 946 1034 1811 1892 2021 2068 3622 3784 4042 4136 7244 7568 8084 8272 14488 16168 19921 22231 28976 32336 39842 44462 77873 79684 85117 88924 155746 159368 170234 177848 311492 318736 340468 355696 622984 680936 856603 936287 1245968 1361872 1713206 1872574 3426412 3660031 3745148 6852824 7320062 7490296 13705648 14640124 14980592 29280248 40260341 58560496 80520682 161041364 322082728 644165456