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644089152 = 26371134241
BaseRepresentation
bin100110011001000…
…000010101000000
31122212222010012210
4212121000111000
52304341323102
6143525022120
721650444640
oct4631002500
91585863183
10644089152
11300631793
1215b854940
13a3594755
1461782520
153b82b36c
hex26640540

644089152 has 112 divisors (see below), whose sum is σ = 1965301632. Its totient is φ = 182353920.

The previous prime is 644089111. The next prime is 644089169. The reversal of 644089152 is 251980446.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 644089152.

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, 149752 + ... + 153992.

It is an arithmetic number, because the mean of its divisors is an integer number (17547336).

Almost surely, 2644089152 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 644089152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (982650816).

644089152 is an abundant number, since it is smaller than the sum of its proper divisors (1321212480).

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

644089152 is a wasteful number, since it uses less digits than its factorization.

644089152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 644089152 is about 25378.9115605851. The cubic root of 644089152 is about 863.6053581791.

The spelling of 644089152 in words is "six hundred forty-four million, eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 168 192 224 226 336 339 448 452 672 678 791 904 1344 1356 1582 1808 2373 2712 3164 3616 4241 4746 5424 6328 7232 8482 9492 10848 12656 12723 16964 18984 21696 25312 25446 29687 33928 37968 50624 50892 59374 67856 75936 89061 101784 118748 135712 151872 178122 203568 237496 271424 356244 407136 474992 479233 712488 814272 949984 958466 1424976 1437699 1899968 1916932 2849952 2875398 3354631 3833864 5699904 5750796 6709262 7667728 10063893 11501592 13418524 15335456 20127786 23003184 26837048 30670912 40255572 46006368 53674096 80511144 92012736 107348192 161022288 214696384 322044576 644089152