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29930625 = 325417313
BaseRepresentation
bin111001000101…
…1010010000001
32002022122002200
41302023102001
530130240000
62545303413
7512256204
oct162132201
962278080
1029930625
111599335a
12a034b69
13627c53a
143d9193b
152963500
hex1c8b481

29930625 has 60 divisors (see below), whose sum is σ = 57384756. Its totient is φ = 14976000.

The previous prime is 29930617. The next prime is 29930647. The reversal of 29930625 is 52603992.

29930625 is a `hidden beast` number, since 29 + 9 + 3 + 0 + 625 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 27373824 + 2556801 = 5232^2 + 1599^2 .

It is not a de Polignac number, because 29930625 - 23 = 29930617 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 29930625.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 95469 + ... + 95781.

Almost surely, 229930625 is an apocalyptic number.

29930625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

29930625 is a deficient number, since it is larger than the sum of its proper divisors (27454131).

29930625 is a wasteful number, since it uses less digits than its factorization.

29930625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 29930625 is about 5470.8888674511. Note that the first 4 decimals coincide. The cubic root of 29930625 is about 310.4835498920.

The spelling of 29930625 in words is "twenty-nine million, nine hundred thirty thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 313 375 425 625 765 939 1125 1275 1565 1875 2125 2817 3825 4695 5321 5625 6375 7825 10625 14085 15963 19125 23475 26605 31875 39125 47889 70425 79815 95625 117375 133025 195625 239445 352125 399075 586875 665125 1197225 1760625 1995375 3325625 5986125 9976875 29930625