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464808680 = 235710331607
BaseRepresentation
bin11011101101000…
…110101011101000
31012101121201122022
4123231012223220
51422442334210
6114042244012
714342544230
oct3355065350
91171551568
10464808680
11219410706
1210b7b6608
13753b322b
1445a34cc0
152ac16155
hex1bb46ae8

464808680 has 64 divisors (see below), whose sum is σ = 1197123840. Its totient is φ = 159109632.

The previous prime is 464808661. The next prime is 464808731. The reversal of 464808680 is 86808464.

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, 288437 + ... + 290043.

It is an arithmetic number, because the mean of its divisors is an integer number (18705060).

Almost surely, 2464808680 is an apocalyptic number.

464808680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464808680 is an abundant number, since it is smaller than the sum of its proper divisors (732315160).

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

464808680 is a wasteful number, since it uses less digits than its factorization.

464808680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2654 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 44.

The square root of 464808680 is about 21559.4220701762. The cubic root of 464808680 is about 774.6248229155.

The spelling of 464808680 in words is "four hundred sixty-four million, eight hundred eight thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1033 1607 2066 3214 4132 5165 6428 7231 8035 8264 10330 11249 12856 14462 16070 20660 22498 28924 32140 36155 41320 44996 56245 57848 64280 72310 89992 112490 144620 224980 289240 449960 1660031 3320062 6640124 8300155 11620217 13280248 16600310 23240434 33200620 46480868 58101085 66401240 92961736 116202170 232404340 464808680