Search a number
-
+
77116008 = 2337989457
BaseRepresentation
bin1001001100010…
…11001001101000
312101002220021110
410212023021220
5124220203013
611352510320
71624322004
oct446131150
9171086243
1077116008
113a591442
12219ab3a0
1312c90798
14a355704
156b842c3
hex498b268

77116008 has 64 divisors (see below), whose sum is σ = 197856000. Its totient is φ = 25039872.

The previous prime is 77115991. The next prime is 77116019. The reversal of 77116008 is 80061177.

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, 168516 + ... + 168972.

It is an arithmetic number, because the mean of its divisors is an integer number (3091500).

Almost surely, 277116008 is an apocalyptic number.

It is an amenable number.

77116008 is an abundant number, since it is smaller than the sum of its proper divisors (120739992).

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

77116008 is a wasteful number, since it uses less digits than its factorization.

77116008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 77116008 is about 8781.5720688269. The cubic root of 77116008 is about 425.6456309311.

The spelling of 77116008 in words is "seventy-seven million, one hundred sixteen thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 79 89 158 178 237 267 316 356 457 474 534 632 712 914 948 1068 1371 1828 1896 2136 2742 3656 5484 7031 10968 14062 21093 28124 36103 40673 42186 56248 72206 81346 84372 108309 122019 144412 162692 168744 216618 244038 288824 325384 433236 488076 866472 976152 3213167 6426334 9639501 12852668 19279002 25705336 38558004 77116008