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77805113 = 235383769
BaseRepresentation
bin1001010001100…
…11011000111001
312102101220112212
410220303120321
5124404230423
611415344505
71633222031
oct450633071
9172356485
1077805113
113aa12151
1222082135
1313172339
14a4948c1
156c6d578
hex4a33639

77805113 has 16 divisors (see below), whose sum is σ = 83825280. Its totient is φ = 72044544.

The previous prime is 77805109. The next prime is 77805149. The reversal of 77805113 is 31150877.

It is a cyclic number.

It is not a de Polignac number, because 77805113 - 22 = 77805109 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 77805113.

It is not an unprimeable number, because it can be changed into a prime (77805713) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 100793 + ... + 101561.

It is an arithmetic number, because the mean of its divisors is an integer number (5239080).

Almost surely, 277805113 is an apocalyptic number.

It is an amenable number.

77805113 is a deficient number, since it is larger than the sum of its proper divisors (6020167).

77805113 is a wasteful number, since it uses less digits than its factorization.

77805113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928.

The product of its (nonzero) digits is 5880, while the sum is 32.

The square root of 77805113 is about 8820.7206621681. The cubic root of 77805113 is about 426.9097228282.

The spelling of 77805113 in words is "seventy-seven million, eight hundred five thousand, one hundred thirteen".

Divisors: 1 23 53 83 769 1219 1909 4399 17687 40757 63827 101177 937411 1468021 3382831 77805113