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79968 = 2537217
BaseRepresentation
bin10011100001100000
311001200210
4103201200
510024333
61414120
7452100
oct234140
9131623
1079968
1155099
123a340
132a525
1421200
1518a63
hex13860

79968 has 72 divisors (see below), whose sum is σ = 258552. Its totient is φ = 21504.

The previous prime is 79967. The next prime is 79973. The reversal of 79968 is 86997.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (79967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4696 + ... + 4712.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

279968 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 79968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129276).

79968 is an abundant number, since it is smaller than the sum of its proper divisors (178584).

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

79968 is a wasteful number, since it uses less digits than its factorization.

79968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 29 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 79968 is about 282.7861382741. The cubic root of 79968 is about 43.0829478753.

The spelling of 79968 in words is "seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 9996 11424 13328 19992 26656 39984 79968