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29988 = 22327217
BaseRepresentation
bin111010100100100
31112010200
413110210
51424423
6350500
7153300
oct72444
945120
1029988
1120592
1215430
131085a
158d43
hex7524

29988 has 54 divisors (see below), whose sum is σ = 93366. Its totient is φ = 8064.

The previous prime is 29983. The next prime is 29989. The reversal of 29988 is 88992.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 1764 = 168^2 + 42^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29983) 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 17 ways as a sum of consecutive naturals, for example, 1756 + ... + 1772.

It is an arithmetic number, because the mean of its divisors is an integer number (1729).

229988 is an apocalyptic number.

29988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46683).

29988 is an abundant number, since it is smaller than the sum of its proper divisors (63378).

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

29988 is a wasteful number, since it uses less digits than its factorization.

29988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 29 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 29988 is about 173.1704362759. The cubic root of 29988 is about 31.0681815303.

The spelling of 29988 in words is "twenty-nine thousand, nine hundred eighty-eight".