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77083980 = 22353141443
BaseRepresentation
bin1001001100000…
…11010101001100
312101001021100020
410212003111030
5124213141410
611352102140
71624126431
oct446032514
9171037306
1077083980
113a56a376
1221994950
1312c7c02c
14a347b88
156b79a70
hex498354c

77083980 has 48 divisors (see below), whose sum is σ = 222802944. Its totient is φ = 19892160.

The previous prime is 77083961. The next prime is 77083999. The reversal of 77083980 is 8938077.

It is an interprime number because it is at equal distance from previous prime (77083961) and next prime (77083999).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18862 + ... + 22581.

It is an arithmetic number, because the mean of its divisors is an integer number (4641728).

Almost surely, 277083980 is an apocalyptic number.

It is an amenable number.

77083980 is an abundant number, since it is smaller than the sum of its proper divisors (145718964).

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

77083980 is a wasteful number, since it uses less digits than its factorization.

77083980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41486 (or 41484 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 77083980 is about 8779.7482879636. The cubic root of 77083980 is about 425.5866960598.

The spelling of 77083980 in words is "seventy-seven million, eighty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 41443 82886 124329 165772 207215 248658 414430 497316 621645 828860 1243290 1284733 2486580 2569466 3854199 5138932 6423665 7708398 12847330 15416796 19270995 25694660 38541990 77083980