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29928 = 2332943
BaseRepresentation
bin111010011101000
31112001110
413103220
51424203
6350320
7153153
oct72350
945043
1029928
1120538
12153a0
1310812
14ac9a
158d03
hex74e8

29928 has 32 divisors (see below), whose sum is σ = 79200. Its totient is φ = 9408.

The previous prime is 29927. The next prime is 29947. The reversal of 29928 is 82992.

29928 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1732-1.

Its product of digits (2592) is a multiple of the sum of its prime factors (81).

It is a junction number, because it is equal to n+sod(n) for n = 29895 and 29904.

It is not an unprimeable number, because it can be changed into a prime (29921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 675 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (2475).

229928 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 29928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39600).

29928 is an abundant number, since it is smaller than the sum of its proper divisors (49272).

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

29928 is a wasteful number, since it uses less digits than its factorization.

29928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 77 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 29928 is about 172.9971098024. The cubic root of 29928 is about 31.0474472866.

The spelling of 29928 in words is "twenty-nine thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 43 58 86 87 116 129 172 174 232 258 344 348 516 696 1032 1247 2494 3741 4988 7482 9976 14964 29928