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76539920 = 245956749
BaseRepresentation
bin1001000111111…
…10100000010000
312100000122000212
410203332200100
5124043234140
611332303252
71616402312
oct443764020
9170018025
1076539920
113a228636
1221771b28
1312b1b4c2
14a2457b2
156abd765
hex48fe810

76539920 has 20 divisors (see below), whose sum is σ = 177955500. Its totient is φ = 30615936.

The previous prime is 76539901. The next prime is 76539943. The reversal of 76539920 is 2993567.

It can be written as a sum of positive squares in 2 ways, for example, as 37552384 + 38987536 = 6128^2 + 6244^2 .

It is a tau number, because it is divible by the number of its divisors (20).

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 3 ways as a sum of consecutive naturals, for example, 478295 + ... + 478454.

It is an arithmetic number, because the mean of its divisors is an integer number (8897775).

Almost surely, 276539920 is an apocalyptic number.

It is an amenable number.

76539920 is an abundant number, since it is smaller than the sum of its proper divisors (101415580).

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

76539920 is a wasteful number, since it uses less digits than its factorization.

76539920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956762 (or 956756 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 41.

The square root of 76539920 is about 8748.7096191381. The cubic root of 76539920 is about 424.5830651595.

The spelling of 76539920 in words is "seventy-six million, five hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 956749 1913498 3826996 4783745 7653992 9567490 15307984 19134980 38269960 76539920