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12575232 = 29322729
BaseRepresentation
bin101111111110…
…001000000000
3212122212222100
4233332020000
511204401412
61125310400
7211613325
oct57761000
925585870
1012575232
117109a5a
124265400
1327b3a87
141954b4c
151185edc
hexbfe200

12575232 has 60 divisors (see below), whose sum is σ = 36306270. Its totient is φ = 4190208.

The previous prime is 12575231. The next prime is 12575263. The reversal of 12575232 is 23257521.

It can be written as a sum of positive squares in only one way, i.e., 7485696 + 5089536 = 2736^2 + 2256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12575196 and 12575205.

It is not an unprimeable number, because it can be changed into a prime (12575231) 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 5 ways as a sum of consecutive naturals, for example, 3244 + ... + 5972.

Almost surely, 212575232 is an apocalyptic number.

12575232 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 12575232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18153135).

12575232 is an abundant number, since it is smaller than the sum of its proper divisors (23731038).

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

12575232 is an equidigital number, since it uses as much as digits as its factorization.

12575232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753 (or 2734 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 12575232 is about 3546.1573569147. The cubic root of 12575232 is about 232.5441054030.

It can be divided in two parts, 125 and 75232, that added together give a palindrome (75357).

The spelling of 12575232 in words is "twelve million, five hundred seventy-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2729 4608 5458 8187 10916 16374 21832 24561 32748 43664 49122 65496 87328 98244 130992 174656 196488 261984 349312 392976 523968 698624 785952 1047936 1397248 1571904 2095872 3143808 4191744 6287616 12575232