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77795094 = 23132174513
BaseRepresentation
bin1001010001100…
…00111100010110
312102101101210210
410220300330112
5124403420334
611415230250
71633150566
oct450607426
9172341723
1077795094
113aa05673
1222078386
131316a900
14a490da6
156c6a5e9
hex4a30f16

77795094 has 48 divisors (see below), whose sum is σ = 178429392. Its totient is φ = 22523904.

The previous prime is 77795093. The next prime is 77795119. The reversal of 77795094 is 49059777.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77795093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14982 + ... + 19494.

It is an arithmetic number, because the mean of its divisors is an integer number (3717279).

Almost surely, 277795094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77795094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89214696).

77795094 is an abundant number, since it is smaller than the sum of its proper divisors (100634298).

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

77795094 is a wasteful number, since it uses less digits than its factorization.

77795094 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4561 (or 4548 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 48.

The square root of 77795094 is about 8820.1527197663. The cubic root of 77795094 is about 426.8913975881.

The spelling of 77795094 in words is "seventy-seven million, seven hundred ninety-five thousand, ninety-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 338 442 507 663 1014 1326 2873 4513 5746 8619 9026 13539 17238 27078 58669 76721 117338 153442 176007 230163 352014 460326 762697 997373 1525394 1994746 2288091 2992119 4576182 5984238 12965849 25931698 38897547 77795094