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12475968 = 263181359
BaseRepresentation
bin101111100101…
…111001000000
3212110211210220
4233211321000
511143212333
61123223040
7211021041
oct57457100
925424726
1012475968
11705141a
124217a80
13277a83b
14192a8c8
1511668b3
hexbe5e40

12475968 has 56 divisors (see below), whose sum is σ = 33284160. Its totient is φ = 4124160.

The previous prime is 12475961. The next prime is 12475973. The reversal of 12475968 is 86957421.

12475968 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (12475961) 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, 34573 + ... + 34931.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 212475968 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 12475968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16642080).

12475968 is an abundant number, since it is smaller than the sum of its proper divisors (20808192).

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

12475968 is a wasteful number, since it uses less digits than its factorization.

12475968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 12475968 is about 3532.1336328061. The cubic root of 12475968 is about 231.9306173815.

The spelling of 12475968 in words is "twelve million, four hundred seventy-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 181 192 359 362 543 718 724 1077 1086 1436 1448 2154 2172 2872 2896 4308 4344 5744 5792 8616 8688 11488 11584 17232 17376 22976 34464 34752 64979 68928 129958 194937 259916 389874 519832 779748 1039664 1559496 2079328 3118992 4158656 6237984 12475968