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644485536 = 253231371951
BaseRepresentation
bin100110011010100…
…001000110100000
31122220201020221200
4212122201012200
52304442014121
6143541321200
721654015402
oct4632410640
91586636850
10644485536
11300882582
1215ba06200
13a36a2cb6
1461846b72
153b8a8a26
hex266a11a0

644485536 has 144 divisors (see below), whose sum is σ = 1944004608. Its totient is φ = 202176000.

The previous prime is 644485493. The next prime is 644485549. The reversal of 644485536 is 635584446.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×6444855362 = 830723212226414592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 644485491 and 644485500.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 329361 + ... + 331311.

It is an arithmetic number, because the mean of its divisors is an integer number (13500032).

Almost surely, 2644485536 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 644485536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972002304).

644485536 is an abundant number, since it is smaller than the sum of its proper divisors (1299519072).

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

644485536 is a wasteful number, since it uses less digits than its factorization.

644485536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2024 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The square root of 644485536 is about 25386.7196778158. The cubic root of 644485536 is about 863.7824812508.

The spelling of 644485536 in words is "six hundred forty-four million, four hundred eighty-five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 37 48 62 72 74 93 96 111 124 144 148 186 222 248 279 288 296 333 372 444 496 558 592 666 744 888 992 1116 1147 1184 1332 1488 1776 1951 2232 2294 2664 2976 3441 3552 3902 4464 4588 5328 5853 6882 7804 8928 9176 10323 10656 11706 13764 15608 17559 18352 20646 23412 27528 31216 35118 36704 41292 46824 55056 60481 62432 70236 72187 82584 93648 110112 120962 140472 144374 165168 181443 187296 216561 241924 280944 288748 330336 362886 433122 483848 544329 561888 577496 649683 725772 866244 967696 1088658 1154992 1299366 1451544 1732488 1935392 2177316 2237797 2309984 2598732 2903088 3464976 4354632 4475594 5197464 5806176 6713391 6929952 8709264 8951188 10394928 13426782 17418528 17902376 20140173 20789856 26853564 35804752 40280346 53707128 71609504 80560692 107414256 161121384 214828512 322242768 644485536