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76312016 = 2411597349
BaseRepresentation
bin1001000110001…
…10110111010000
312022121001101222
410203012313100
5124013441031
611323344212
71614433004
oct443066720
9168531358
1076312016
113a092390
1221682068
1312a6b851
14a1c6704
156a75e7b
hex48c6dd0

76312016 has 40 divisors (see below), whose sum is σ = 164052000. Its totient is φ = 34094720.

The previous prime is 76312009. The next prime is 76312039. The reversal of 76312016 is 61021367.

It is a super-3 number, since 3×763120163 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6710 + ... + 14058.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 276312016 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 76312016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82026000).

76312016 is an abundant number, since it is smaller than the sum of its proper divisors (87739984).

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

76312016 is a wasteful number, since it uses less digits than its factorization.

76312016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427 (or 7421 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 76312016 is about 8735.6749023759. The cubic root of 76312016 is about 424.1612357001.

The spelling of 76312016 in words is "seventy-six million, three hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 59 88 118 176 236 472 649 944 1298 2596 5192 7349 10384 14698 29396 58792 80839 117584 161678 323356 433591 646712 867182 1293424 1734364 3468728 4769501 6937456 9539002 19078004 38156008 76312016