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77117516 = 2272754197
BaseRepresentation
bin1001001100010…
…11100001001100
312101002222100022
410212023201030
5124220230031
611352521312
71624326260
oct446134114
9171088308
1077117516
113a592593
12219b0238
1312c91388
14a3560a0
156b8497b
hex498b84c

77117516 has 12 divisors (see below), whose sum is σ = 154235088. Its totient is φ = 33050352.

The previous prime is 77117507. The next prime is 77117519. The reversal of 77117516 is 61571177.

77117516 is an admirable number.

It is a super-2 number, since 2×771175162 = 11894222548020512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (77117519) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1377071 + ... + 1377126.

It is an arithmetic number, because the mean of its divisors is an integer number (12852924).

Almost surely, 277117516 is an apocalyptic number.

It is an amenable number.

77117516 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

77117516 is a wasteful number, since it uses less digits than its factorization.

77117516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2754208 (or 2754206 counting only the distinct ones).

The product of its digits is 10290, while the sum is 35.

The square root of 77117516 is about 8781.6579300267. The cubic root of 77117516 is about 425.6484054066.

The spelling of 77117516 in words is "seventy-seven million, one hundred seventeen thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 2754197 5508394 11016788 19279379 38558758 77117516