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29952825 = 352759967
BaseRepresentation
bin111001001000…
…0101100111001
32002100202112220
41302100230321
530131442300
62545554253
7512411010
oct162205471
962322486
1029952825
11159a9001
12a045989
136289686
143d99a77
152969da0
hex1c90b39

29952825 has 48 divisors (see below), whose sum is σ = 57615360. Its totient is φ = 13446720.

The previous prime is 29952809. The next prime is 29952847. The reversal of 29952825 is 52825992.

It is not a de Polignac number, because 29952825 - 24 = 29952809 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30492 + ... + 31458.

It is an arithmetic number, because the mean of its divisors is an integer number (1200320).

Almost surely, 229952825 is an apocalyptic number.

29952825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29952825 is a deficient number, since it is larger than the sum of its proper divisors (27662535).

29952825 is a wasteful number, since it uses less digits than its factorization.

29952825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1041 counting only the distinct ones).

The product of its digits is 129600, while the sum is 42.

The square root of 29952825 is about 5472.9174121304. The cubic root of 29952825 is about 310.5602943788.

The spelling of 29952825 in words is "twenty-nine million, nine hundred fifty-two thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 59 75 105 175 177 295 413 525 885 967 1239 1475 2065 2901 4425 4835 6195 6769 10325 14505 20307 24175 30975 33845 57053 72525 101535 169225 171159 285265 399371 507675 855795 1198113 1426325 1996855 4278975 5990565 9984275 29952825