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12925752 = 2337471637
BaseRepresentation
bin110001010011…
…101100111000
3220022200210120
4301103230320
511302111002
61141013240
7214603260
oct61235470
926280716
1012925752
117329344
1243b4220
1328a7498
141a067a0
151204cbc
hexc53b38

12925752 has 64 divisors (see below), whose sum is σ = 37739520. Its totient is φ = 3612288.

The previous prime is 12925741. The next prime is 12925771. The reversal of 12925752 is 25752921.

It is a happy number.

12925752 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

12925752 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7078 + ... + 8714.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 212925752 is an apocalyptic number.

12925752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12925752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18869760).

12925752 is an abundant number, since it is smaller than the sum of its proper divisors (24813768).

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

12925752 is a wasteful number, since it uses less digits than its factorization.

12925752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1696 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 12925752 is about 3595.2401866913. The cubic root of 12925752 is about 234.6849679396.

The spelling of 12925752 in words is "twelve million, nine hundred twenty-five thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 141 168 188 282 329 376 564 658 987 1128 1316 1637 1974 2632 3274 3948 4911 6548 7896 9822 11459 13096 19644 22918 34377 39288 45836 68754 76939 91672 137508 153878 230817 275016 307756 461634 538573 615512 923268 1077146 1615719 1846536 2154292 3231438 4308584 6462876 12925752