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78056 = 2311887
BaseRepresentation
bin10011000011101000
310222001222
4103003220
54444211
61401212
7443366
oct230350
9128058
1078056
1153710
1239208
13296b4
1420636
15181db
hex130e8

78056 has 16 divisors (see below), whose sum is σ = 159840. Its totient is φ = 35440.

The previous prime is 78049. The next prime is 78059. The reversal of 78056 is 65087.

78056 = T73 + T74 + ... + T94.

It is a nialpdrome in base 5.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (78059) by changing a digit.

78056 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 3 ways as a sum of consecutive naturals, for example, 356 + ... + 531.

It is an arithmetic number, because the mean of its divisors is an integer number (9990).

278056 is an apocalyptic number.

It is an amenable number.

78056 is an abundant number, since it is smaller than the sum of its proper divisors (81784).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79920).

78056 is a wasteful number, since it uses less digits than its factorization.

78056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 78056 is about 279.3850389695. The cubic root of 78056 is about 42.7368095370.

The spelling of 78056 in words is "seventy-eight thousand, fifty-six".

Divisors: 1 2 4 8 11 22 44 88 887 1774 3548 7096 9757 19514 39028 78056