Search a number
-
+
77116728 = 23313219013
BaseRepresentation
bin1001001100010…
…11010100111000
312101002221021010
410212023110320
5124220213403
611352513520
71624324053
oct446132470
9171087233
1077116728
113a591a37
12219ab8a0
1312c90c00
14a355a9a
156b84603
hex498b538

77116728 has 48 divisors (see below), whose sum is σ = 208773720. Its totient is φ = 23726976.

The previous prime is 77116727. The next prime is 77116751. The reversal of 77116728 is 82761177.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77116727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5451 + ... + 13562.

Almost surely, 277116728 is an apocalyptic number.

77116728 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

77116728 is an abundant number, since it is smaller than the sum of its proper divisors (131656992).

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

77116728 is a wasteful number, since it uses less digits than its factorization.

77116728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19048 (or 19031 counting only the distinct ones).

The product of its digits is 32928, while the sum is 39.

The square root of 77116728 is about 8781.6130636689. The cubic root of 77116728 is about 425.6469556188.

The spelling of 77116728 in words is "seventy-seven million, one hundred sixteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 4056 19013 38026 57039 76052 114078 152104 228156 247169 456312 494338 741507 988676 1483014 1977352 2966028 3213197 5932056 6426394 9639591 12852788 19279182 25705576 38558364 77116728