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79950 = 23521341
BaseRepresentation
bin10011100001001110
311001200010
4103201032
510024300
61414050
7452043
oct234116
9131603
1079950
1155082
123a326
132a510
14211ca
1518a50
hex1384e

79950 has 48 divisors (see below), whose sum is σ = 218736. Its totient is φ = 19200.

The previous prime is 79943. The next prime is 79967. The reversal of 79950 is 5997.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

79950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930 + ... + 1970.

It is an arithmetic number, because the mean of its divisors is an integer number (4557).

279950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368).

79950 is an abundant number, since it is smaller than the sum of its proper divisors (138786).

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

79950 is a wasteful number, since it uses less digits than its factorization.

79950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 2835, while the sum is 30.

The square root of 79950 is about 282.7543103120. The cubic root of 79950 is about 43.0797151186.

The spelling of 79950 in words is "seventy-nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 41 50 65 75 78 82 123 130 150 195 205 246 325 390 410 533 615 650 975 1025 1066 1230 1599 1950 2050 2665 3075 3198 5330 6150 7995 13325 15990 26650 39975 79950