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77275116 = 22322146531
BaseRepresentation
bin1001001101100…
…01111111101100
312101101222112100
410212301333230
5124240300431
611400135100
71625553612
oct446617754
9171358470
1077275116
113a68aa36
1221a67490
1313018029
14a3976b2
156bb64e6
hex49b1fec

77275116 has 18 divisors (see below), whose sum is σ = 195334412. Its totient is φ = 25758360.

The previous prime is 77275091. The next prime is 77275117. The reversal of 77275116 is 61157277.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×772751163 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2146531 = 77275116 / (7 + 7 + 2 + 7 + 5 + 1 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (77275117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1073230 + ... + 1073301.

Almost surely, 277275116 is an apocalyptic number.

It is an amenable number.

77275116 is an abundant number, since it is smaller than the sum of its proper divisors (118059296).

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

77275116 is a wasteful number, since it uses less digits than its factorization.

77275116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146541 (or 2146536 counting only the distinct ones).

The product of its digits is 20580, while the sum is 36.

The square root of 77275116 is about 8790.6265988267. The cubic root of 77275116 is about 425.9381646676.

The spelling of 77275116 in words is "seventy-seven million, two hundred seventy-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 2146531 4293062 6439593 8586124 12879186 19318779 25758372 38637558 77275116