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77956065 = 325112103139
BaseRepresentation
bin1001010010110…
…00001111100001
312102200120121200
410221120033201
5124424043230
611422511413
71634421105
oct451301741
9172616550
1077956065
1140005600
1222135569
13131c5c65
14a4d3905
156c9d160
hex4a583e1

77956065 has 72 divisors (see below), whose sum is σ = 151045440. Its totient is φ = 37160640.

The previous prime is 77956063. The next prime is 77956097. The reversal of 77956065 is 56065977.

It is a happy number.

It is not a de Polignac number, because 77956065 - 21 = 77956063 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 77956065.

It is not an unprimeable number, because it can be changed into a prime (77956063) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 560766 + ... + 560904.

Almost surely, 277956065 is an apocalyptic number.

It is an amenable number.

77956065 is a deficient number, since it is larger than the sum of its proper divisors (73089375).

77956065 is a wasteful number, since it uses less digits than its factorization.

77956065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 77956065 is about 8829.2731863954. The cubic root of 77956065 is about 427.1856311973.

The spelling of 77956065 in words is "seventy-seven million, nine hundred fifty-six thousand, sixty-five".

Divisors: 1 3 5 9 11 15 33 45 55 99 103 121 139 165 309 363 417 495 515 605 695 927 1089 1133 1251 1529 1545 1815 2085 3399 4587 4635 5445 5665 6255 7645 10197 12463 13761 14317 16819 16995 22935 37389 42951 50457 50985 62315 68805 71585 84095 112167 128853 151371 157487 186945 214755 252285 472461 560835 644265 756855 787435 1417383 1732357 2362305 5197071 7086915 8661785 15591213 25985355 77956065