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580397664 = 25371178517
BaseRepresentation
bin100010100110000…
…010101001100000
31111110010020220210
4202212002221200
52142040211124
6133331534120
720245204320
oct4246025140
91443106823
10580397664
1127868a3a0
1214245a340
1393324492
1457123280
1535e49a29
hex22982a60

580397664 has 96 divisors (see below), whose sum is σ = 1899507456. Its totient is φ = 150750720.

The previous prime is 580397659. The next prime is 580397683. The reversal of 580397664 is 466793085.

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

It is a super-2 number, since 2×5803976642 = 673722896753313792, which contains 22 as substring.

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

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, 31867 + ... + 46650.

It is an arithmetic number, because the mean of its divisors is an integer number (19786536).

Almost surely, 2580397664 is an apocalyptic number.

It is an amenable number.

580397664 is an abundant number, since it is smaller than the sum of its proper divisors (1319109792).

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

580397664 is a wasteful number, since it uses less digits than its factorization.

580397664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78548 (or 78540 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The square root of 580397664 is about 24091.4437923508. The cubic root of 580397664 is about 834.1456422034.

It can be divided in two parts, 58039 and 7664, that added together give a triangular number (65703 = T362).

The spelling of 580397664 in words is "five hundred eighty million, three hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 78517 157034 235551 314068 471102 549619 628136 863687 942204 1099238 1256272 1648857 1727374 1884408 2198476 2512544 2591061 3297714 3454748 3768816 4396952 5182122 6045809 6595428 6909496 7537632 8793904 10364244 12091618 13190856 13818992 17587808 18137427 20728488 24183236 26381712 27637984 36274854 41456976 48366472 52763424 72549708 82913952 96732944 145099416 193465888 290198832 580397664