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486364680 = 233259111483
BaseRepresentation
bin11100111111010…
…101011000001000
31020220011212220200
4130333111120020
51444002132210
6120132252200
715024013554
oct3477253010
91226155820
10486364680
1122a5a3a8a
12116a71060
13799bc969
1448846864
152ca730c0
hex1cfd5608

486364680 has 96 divisors (see below), whose sum is σ = 1583487360. Its totient is φ = 129467520.

The previous prime is 486364609. The next prime is 486364691. The reversal of 486364680 is 86463684.

486364680 is a `hidden beast` number, since 4 + 8 + 636 + 4 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 327219 + ... + 328701.

It is an arithmetic number, because the mean of its divisors is an integer number (16494660).

Almost surely, 2486364680 is an apocalyptic number.

486364680 is a gapful number since it is divisible by the number (40) 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 486364680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791743680).

486364680 is an abundant number, since it is smaller than the sum of its proper divisors (1097122680).

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

486364680 is a wasteful number, since it uses less digits than its factorization.

486364680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 486364680 is about 22053.6772443962. The cubic root of 486364680 is about 786.4190217648.

The spelling of 486364680 in words is "four hundred eighty-six million, three hundred sixty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 911 1483 1822 2733 2966 3644 4449 4555 5466 5932 7288 7415 8199 8898 9110 10932 11864 13347 13665 14830 16398 17796 18220 21864 22245 26694 27330 29660 32796 35592 36440 40995 44490 53388 54660 59320 65592 66735 81990 88980 106776 109320 133470 163980 177960 266940 327960 533880 1351013 2702026 4053039 5404052 6755065 8106078 10808104 12159117 13510130 16212156 20265195 24318234 27020260 32424312 40530390 48636468 54040520 60795585 81060780 97272936 121591170 162121560 243182340 486364680