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29925 = 3252719
BaseRepresentation
bin111010011100101
31112001100
413103211
51424200
6350313
7153150
oct72345
945040
1029925
1120535
1215399
131080c
14ac97
158d00
hex74e5

29925 has 36 divisors (see below), whose sum is σ = 64480. Its totient is φ = 12960.

The previous prime is 29921. The next prime is 29927. The reversal of 29925 is 52992.

It is not a de Polignac number, because 29925 - 22 = 29921 is a prime.

29925 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 29925.

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 35 ways as a sum of consecutive naturals, for example, 1566 + ... + 1584.

229925 is an apocalyptic number.

29925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29925 is an abundant number, since it is smaller than the sum of its proper divisors (34555).

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 (32240).

29925 is a wasteful number, since it uses less digits than its factorization.

29925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 34 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 29925 is about 172.9884389201. The cubic root of 29925 is about 31.0464098473.

It can be divided in two parts, 299 and 25, that added together give a square (324 = 182).

The spelling of 29925 in words is "twenty-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 35 45 57 63 75 95 105 133 171 175 225 285 315 399 475 525 665 855 1197 1425 1575 1995 3325 4275 5985 9975 29925