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12752928 = 253244281
BaseRepresentation
bin110000101001…
…100000100000
3212222220201200
4300221200200
511231043203
61133201200
7213253356
oct60514040
925886650
1012752928
117220511
124330200
132846916
14199d7d6
1511bd9a3
hexc29820

12752928 has 36 divisors (see below), whose sum is σ = 36266958. Its totient is φ = 4250880.

The previous prime is 12752921. The next prime is 12752951. The reversal of 12752928 is 82925721.

12752928 is a `hidden beast` number, since 127 + 529 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12027024 + 725904 = 3468^2 + 852^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12752892 and 12752901.

It is not an unprimeable number, because it can be changed into a prime (12752921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 21853 + ... + 22428.

Almost surely, 212752928 is an apocalyptic number.

12752928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12752928 is an abundant number, since it is smaller than the sum of its proper divisors (23514030).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12752928 is a wasteful number, since it uses less digits than its factorization.

12752928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44297 (or 44286 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 12752928 is about 3571.1241927438. The cubic root of 12752928 is about 233.6343181582.

The spelling of 12752928 in words is "twelve million, seven hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 44281 88562 132843 177124 265686 354248 398529 531372 708496 797058 1062744 1416992 1594116 2125488 3188232 4250976 6376464 12752928