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29625 = 35379
BaseRepresentation
bin111001110111001
31111122020
413032321
51422000
6345053
7152241
oct71671
944566
1029625
1120292
1215189
131063b
14ab21
158ba0
hex73b9

29625 has 16 divisors (see below), whose sum is σ = 49920. Its totient is φ = 15600.

The previous prime is 29611. The next prime is 29629. The reversal of 29625 is 52692.

It is not a de Polignac number, because 29625 - 213 = 21433 is a prime.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

29625 is a lucky number.

It is a plaindrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 29595 and 29604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336 + ... + 414.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

229625 is an apocalyptic number.

29625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29625 is a deficient number, since it is larger than the sum of its proper divisors (20295).

29625 is an equidigital number, since it uses as much as digits as its factorization.

29625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 87 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 29625 is about 172.1191447806. The cubic root of 29625 is about 30.9423138107.

The spelling of 29625 in words is "twenty-nine thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 79 125 237 375 395 1185 1975 5925 9875 29625