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29972625 = 353257311
BaseRepresentation
bin111001001010…
…1100010010001
32002101202201020
41302111202101
530133111000
62550230053
7512522514
oct162254221
962352636
1029972625
1115a11971
12a055329
1362956a7
143da2d7b
152970ba0
hex1c95891

29972625 has 32 divisors (see below), whose sum is σ = 50229504. Its totient is φ = 15872000.

The previous prime is 29972623. The next prime is 29972639. The reversal of 29972625 is 52627992.

It is not a de Polignac number, because 29972625 - 21 = 29972623 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (29972623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96220 + ... + 96530.

It is an arithmetic number, because the mean of its divisors is an integer number (1569672).

Almost surely, 229972625 is an apocalyptic number.

29972625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29972625 is a deficient number, since it is larger than the sum of its proper divisors (20256879).

29972625 is a wasteful number, since it uses less digits than its factorization.

29972625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 29972625 is about 5474.7260205420. The cubic root of 29972625 is about 310.6287101781.

The spelling of 29972625 in words is "twenty-nine million, nine hundred seventy-two thousand, six hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 257 311 375 771 933 1285 1555 3855 4665 6425 7775 19275 23325 32125 38875 79927 96375 116625 239781 399635 1198905 1998175 5994525 9990875 29972625