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77985216 = 2632135391
BaseRepresentation
bin1001010010111…
…11010111000000
312102202001121100
410221133113000
5124431011331
611423254400
71634602101
oct451372700
9172661540
1077985216
11400254a1
122214a400
13132062ca
14a5003a8
156ca6ae6
hex4a5f5c0

77985216 has 42 divisors (see below), whose sum is σ = 223532192. Its totient is φ = 25994880.

The previous prime is 77985209. The next prime is 77985227. The reversal of 77985216 is 61258977.

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 5 ways as a sum of consecutive naturals, for example, 67120 + ... + 68271.

Almost surely, 277985216 is an apocalyptic number.

It is an amenable number.

77985216 is an abundant number, since it is smaller than the sum of its proper divisors (145546976).

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

77985216 is a wasteful number, since it uses less digits than its factorization.

77985216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135409 (or 135396 counting only the distinct ones).

The product of its digits is 211680, while the sum is 45.

The square root of 77985216 is about 8830.9238474805. The cubic root of 77985216 is about 427.2388720257.

The spelling of 77985216 in words is "seventy-seven million, nine hundred eighty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 135391 270782 406173 541564 812346 1083128 1218519 1624692 2166256 2437038 3249384 4332512 4874076 6498768 8665024 9748152 12997536 19496304 25995072 38992608 77985216