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664717872 = 243713314909
BaseRepresentation
bin100111100111101…
…100101000110000
31201022210011111110
4213213230220300
52330131432442
6145543113320
722321002660
oct4747545060
91638704443
10664717872
11311241415
12166742840
13a79380b0
14643d21a0
153d55369c
hex279eca30

664717872 has 160 divisors (see below), whose sum is σ = 2182082560. Its totient is φ = 169620480.

The previous prime is 664717849. The next prime is 664717897. The reversal of 664717872 is 278717466.

664717872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132954 + ... + 137862.

It is an arithmetic number, because the mean of its divisors is an integer number (13638016).

Almost surely, 2664717872 is an apocalyptic number.

664717872 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664717872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1091041280).

664717872 is an abundant number, since it is smaller than the sum of its proper divisors (1517364688).

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

664717872 is a wasteful number, since it uses less digits than its factorization.

664717872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4965 counting only the distinct ones).

The product of its digits is 790272, while the sum is 48.

The square root of 664717872 is about 25782.1231088520. The cubic root of 664717872 is about 872.7284194903.

The spelling of 664717872 in words is "six hundred sixty-four million, seven hundred seventeen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 4909 5208 5642 6448 8463 9672 9818 10416 11284 14727 16926 19344 19636 22568 29454 33852 34363 39272 45136 58908 63817 67704 68726 78544 103089 117816 127634 135408 137452 152179 191451 206178 235632 255268 274904 304358 382902 412356 446719 456537 510536 549808 608716 765804 824712 893438 913074 1021072 1065253 1217432 1340157 1531608 1649424 1786876 1826148 1978327 2130506 2434864 2680314 3063216 3195759 3573752 3652296 3956654 4261012 5360628 5934981 6391518 7147504 7304592 7913308 8522024 10721256 11869962 12783036 13848289 15826616 17044048 21442512 23739924 25566072 27696578 31653232 41544867 47479848 51132144 55393156 83089734 94959696 110786312 166179468 221572624 332358936 664717872