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479620680 = 233571151907
BaseRepresentation
bin11100100101100…
…110111001001000
31020102111020212220
4130211212321020
51440240330210
6115331534040
714612465010
oct3445467110
91212436786
10479620680
11226808130
1211475a320
137849b126
14479acc40
152c18ec70
hex1c966e48

479620680 has 128 divisors (see below), whose sum is σ = 1793940480. Its totient is φ = 99659520.

The previous prime is 479620657. The next prime is 479620699. The reversal of 479620680 is 86026974.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 16714 + ... + 35193.

It is an arithmetic number, because the mean of its divisors is an integer number (14015160).

Almost surely, 2479620680 is an apocalyptic number.

479620680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

479620680 is an abundant number, since it is smaller than the sum of its proper divisors (1314319800).

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

479620680 is a wasteful number, since it uses less digits than its factorization.

479620680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51939 (or 51935 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 479620680 is about 21900.2438342590. The cubic root of 479620680 is about 782.7672256038.

The spelling of 479620680 in words is "four hundred seventy-nine million, six hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 9240 51907 103814 155721 207628 259535 311442 363349 415256 519070 570977 622884 726698 778605 1038140 1090047 1141954 1245768 1453396 1557210 1712931 1816745 2076280 2180094 2283908 2854885 2906792 3114420 3425862 3633490 3996839 4360188 4567816 5450235 5709770 6228840 6851724 7266980 7993678 8564655 8720376 10900470 11419540 11990517 13703448 14533960 15987356 17129310 19984195 21800940 22839080 23981034 31974712 34258620 39968390 43601880 47962068 59952585 68517240 79936780 95924136 119905170 159873560 239810340 479620680