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79056 = 243461
BaseRepresentation
bin10011010011010000
311000110000
4103103100
510012211
61410000
7446325
oct232320
9130400
1079056
115443a
1239900
1329ca3
1420b4c
1518656
hex134d0

79056 has 50 divisors (see below), whose sum is σ = 232562. Its totient is φ = 25920.

The previous prime is 79043. The next prime is 79063. The reversal of 79056 is 65097.

It can be written as a sum of positive squares in only one way, i.e., 46656 + 32400 = 216^2 + 180^2 .

It is a super-2 number, since 2×790562 = 12499702272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

79056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1266 + ... + 1326.

279056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116281).

79056 is an abundant number, since it is smaller than the sum of its proper divisors (153506).

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

79056 is a wasteful number, since it uses less digits than its factorization.

79056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 79056 is about 281.1689883326. The cubic root of 79056 is about 42.9185405702.

The spelling of 79056 in words is "seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1296 1464 1647 2196 2928 3294 4392 4941 6588 8784 9882 13176 19764 26352 39528 79056