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78052 = 22131979
BaseRepresentation
bin10011000011100100
310222001211
4103003210
54444202
61401204
7443362
oct230344
9128054
1078052
1153707
1239204
13296b0
1420632
15181d7
hex130e4

78052 has 24 divisors (see below), whose sum is σ = 156800. Its totient is φ = 33696.

The previous prime is 78049. The next prime is 78059. The reversal of 78052 is 25087.

It is a super-2 number, since 2×780522 = 12184229408, which contains 22 as substring.

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

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 7 ways as a sum of consecutive naturals, for example, 949 + ... + 1027.

278052 is an apocalyptic number.

It is an amenable number.

78052 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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 (78400).

78052 is a wasteful number, since it uses less digits than its factorization.

78052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 78052 is about 279.3778802984. The cubic root of 78052 is about 42.7360795049.

The spelling of 78052 in words is "seventy-eight thousand, fifty-two".

Divisors: 1 2 4 13 19 26 38 52 76 79 158 247 316 494 988 1027 1501 2054 3002 4108 6004 19513 39026 78052