Search a number
-
+
12582976 = 26728087
BaseRepresentation
bin110000000000…
…000001000000
3212200021121011
4300000001000
511210123401
61125410304
7211645030
oct60000100
925607534
1012582976
11711485a
124269994
1327b7463
1419578c0
151188451
hexc00040

12582976 has 28 divisors (see below), whose sum is σ = 28537408. Its totient is φ = 5392512.

The previous prime is 12582971. The next prime is 12582991. The reversal of 12582976 is 67928521.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (12582971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13596 + ... + 14491.

Almost surely, 212582976 is an apocalyptic number.

12582976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12582976 is an abundant number, since it is smaller than the sum of its proper divisors (15954432).

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

12582976 is an equidigital number, since it uses as much as digits as its factorization.

12582976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28106 (or 28096 counting only the distinct ones).

The product of its digits is 60480, while the sum is 40.

The square root of 12582976 is about 3547.2490749875. The cubic root of 12582976 is about 232.5918302223.

The spelling of 12582976 in words is "twelve million, five hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 28087 56174 112348 196609 224696 393218 449392 786436 898784 1572872 1797568 3145744 6291488 12582976