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76820508 = 2233977333
BaseRepresentation
bin1001001010000…
…11000000011100
312100112212221000
410211003000130
5124131224013
611342310300
71621651332
oct445030034
9170485830
1076820508
113a3aa426
1221888390
1312bb912b
14a2b9b52
156b26973
hex494301c

76820508 has 48 divisors (see below), whose sum is σ = 201244960. Its totient is φ = 25339392.

The previous prime is 76820453. The next prime is 76820519. The reversal of 76820508 is 80502867.

76820508 is a `hidden beast` number, since 76 + 82 + 0 + 508 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 6810 + ... + 14142.

Almost surely, 276820508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76820508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100622480).

76820508 is an abundant number, since it is smaller than the sum of its proper divisors (124424452).

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

76820508 is a wasteful number, since it uses less digits than its factorization.

76820508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7443 (or 7435 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 76820508 is about 8764.7309142951. The cubic root of 76820508 is about 425.1012593786.

The spelling of 76820508 in words is "seventy-six million, eight hundred twenty thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 97 108 194 291 388 582 873 1164 1746 2619 3492 5238 7333 10476 14666 21999 29332 43998 65997 87996 131994 197991 263988 395982 711301 791964 1422602 2133903 2845204 4267806 6401709 8535612 12803418 19205127 25606836 38410254 76820508