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12489952 = 252943313
BaseRepresentation
bin101111101001…
…010011100000
3212111112222211
4233221103200
511144134302
61123411504
7211106566
oct57512340
925445884
1012489952
117060982
124223b94
132784007
141931a36
15116aad7
hexbe94e0

12489952 has 48 divisors (see below), whose sum is σ = 26112240. Its totient is φ = 5870592.

The previous prime is 12489941. The next prime is 12489959. The reversal of 12489952 is 25998421.

12489952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12489959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39748 + ... + 40060.

It is an arithmetic number, because the mean of its divisors is an integer number (544005).

Almost surely, 212489952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12489952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13056120).

12489952 is an abundant number, since it is smaller than the sum of its proper divisors (13622288).

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

12489952 is a wasteful number, since it uses less digits than its factorization.

12489952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 387 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 12489952 is about 3534.1126184659. The cubic root of 12489952 is about 232.0172400982.

The spelling of 12489952 in words is "twelve million, four hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 43 58 86 116 172 232 313 344 464 626 688 928 1247 1252 1376 2494 2504 4988 5008 9077 9976 10016 13459 18154 19952 26918 36308 39904 53836 72616 107672 145232 215344 290464 390311 430688 780622 1561244 3122488 6244976 12489952