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77631316 = 22717315261
BaseRepresentation
bin1001010000010…
…00111101010100
312102002002010221
410220020331110
5124333200231
611411524124
71631566240
oct450107524
9172062127
1077631316
113a903614
1221bb9644
13131111b9
14a44b420
156c36d11
hex4a08f54

77631316 has 48 divisors (see below), whose sum is σ = 169731072. Its totient is φ = 30297600.

The previous prime is 77631277. The next prime is 77631341. The reversal of 77631316 is 61313677.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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, 12126 + ... + 17386.

It is an arithmetic number, because the mean of its divisors is an integer number (3536064).

Almost surely, 277631316 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 77631316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84865536).

77631316 is an abundant number, since it is smaller than the sum of its proper divisors (92099756).

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

77631316 is a wasteful number, since it uses less digits than its factorization.

77631316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5318 counting only the distinct ones).

The product of its digits is 15876, while the sum is 34.

The square root of 77631316 is about 8810.8635218121. The cubic root of 77631316 is about 426.5916163025.

The spelling of 77631316 in words is "seventy-seven million, six hundred thirty-one thousand, three hundred sixteen".

Divisors: 1 2 4 7 14 17 28 31 34 62 68 119 124 217 238 434 476 527 868 1054 2108 3689 5261 7378 10522 14756 21044 36827 73654 89437 147308 163091 178874 326182 357748 626059 652364 1141637 1252118 2283274 2504236 2772547 4566548 5545094 11090188 19407829 38815658 77631316