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12753888 = 253718979
BaseRepresentation
bin110000101001…
…101111100000
3212222222001020
4300221233200
511231111023
61133205440
7213256230
oct60515740
925888036
1012753888
117221204
124330880
1328471a4
14199dcc0
1511bdde3
hexc29be0

12753888 has 48 divisors (see below), whose sum is σ = 38263680. Its totient is φ = 3643776.

The previous prime is 12753887. The next prime is 12753889. The reversal of 12753888 is 88835721.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12753887) and next prime (12753889).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12753887) 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 7 ways as a sum of consecutive naturals, for example, 8818 + ... + 10161.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 212753888 is an apocalyptic number.

It is an amenable number.

12753888 is an abundant number, since it is smaller than the sum of its proper divisors (25509792).

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

12753888 is a wasteful number, since it uses less digits than its factorization.

12753888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18999 (or 18991 counting only the distinct ones).

The product of its digits is 107520, while the sum is 42.

The square root of 12753888 is about 3571.2586016697. The cubic root of 12753888 is about 233.6401804281.

The spelling of 12753888 in words is "twelve million, seven hundred fifty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 18979 37958 56937 75916 113874 132853 151832 227748 265706 303664 398559 455496 531412 607328 797118 910992 1062824 1594236 1821984 2125648 3188472 4251296 6376944 12753888