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77089116 = 22313618101
BaseRepresentation
bin1001001100001…
…00100101011100
312101001112101110
410212010211130
5124213322431
611352142020
71624150416
oct446044534
9171045343
1077089116
113a573215
1221997910
1312c81480
14a3499b6
156b7b346
hex498495c

77089116 has 48 divisors (see below), whose sum is σ = 196911008. Its totient is φ = 23328000.

The previous prime is 77089081. The next prime is 77089139. The reversal of 77089116 is 61198077.

It is a super-2 number, since 2×770891162 = 11885463611322912, which contains 22 as substring.

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

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, 5466 + ... + 13566.

Almost surely, 277089116 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 77089116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98455504).

77089116 is an abundant number, since it is smaller than the sum of its proper divisors (119821892).

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

77089116 is a wasteful number, since it uses less digits than its factorization.

77089116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8180 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 77089116 is about 8780.0407743928. The cubic root of 77089116 is about 425.5961479361.

The spelling of 77089116 in words is "seventy-seven million, eighty-nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 12 13 26 39 52 61 78 122 156 183 244 366 732 793 1586 2379 3172 4758 8101 9516 16202 24303 32404 48606 97212 105313 210626 315939 421252 494161 631878 988322 1263756 1482483 1976644 2964966 5929932 6424093 12848186 19272279 25696372 38544558 77089116