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77376992 = 25711311013
BaseRepresentation
bin1001001110010…
…10110111100000
312101121011021112
410213022313200
5124302030432
611402242452
71626456620
oct447126740
9171534245
1077376992
113a74a530
1221ab6428
1313052504
14a3c2880
156bd67b2
hex49cade0

77376992 has 96 divisors (see below), whose sum is σ = 196245504. Its totient is φ = 29145600.

The previous prime is 77376989. The next prime is 77377021. The reversal of 77376992 is 29967377.

It is a self number, because there is not a number n which added to its sum of digits gives 77376992.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75878 + ... + 76890.

It is an arithmetic number, because the mean of its divisors is an integer number (2044224).

Almost surely, 277376992 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 77376992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98122752).

77376992 is an abundant number, since it is smaller than the sum of its proper divisors (118868512).

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

77376992 is a wasteful number, since it uses less digits than its factorization.

77376992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1064 counting only the distinct ones).

The product of its digits is 1000188, while the sum is 50.

The square root of 77376992 is about 8796.4192714991. The cubic root of 77376992 is about 426.1252616427.

The spelling of 77376992 in words is "seventy-seven million, three hundred seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 32 44 56 62 77 88 112 124 154 176 217 224 248 308 341 352 434 496 616 682 868 992 1013 1232 1364 1736 2026 2387 2464 2728 3472 4052 4774 5456 6944 7091 8104 9548 10912 11143 14182 16208 19096 22286 28364 31403 32416 38192 44572 56728 62806 76384 78001 89144 113456 125612 156002 178288 219821 226912 251224 312004 345433 356576 439642 502448 624008 690866 879284 1004896 1248016 1381732 1758568 2418031 2496032 2763464 3517136 4836062 5526928 7034272 9672124 11053856 19344248 38688496 77376992