Search a number
-
+
12749952 = 27333203
BaseRepresentation
bin110000101000…
…110010000000
3212222202122110
4300220302000
511230444302
61133135320
7213241605
oct60506200
925882573
1012749952
117219256
12432a540
132845467
14199c6ac
1511bcb6c
hexc28c80

12749952 has 32 divisors (see below), whose sum is σ = 33868080. Its totient is φ = 4249856.

The previous prime is 12749951. The next prime is 12749953. The reversal of 12749952 is 25994721.

It is an interprime number because it is at equal distance from previous prime (12749951) and next prime (12749953).

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×127499522 = 325122552004608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12749952.

It is not an unprimeable number, because it can be changed into a prime (12749951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16218 + ... + 16985.

Almost surely, 212749952 is an apocalyptic number.

12749952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12749952 is an abundant number, since it is smaller than the sum of its proper divisors (21118128).

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

12749952 is an equidigital number, since it uses as much as digits as its factorization.

12749952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33220 (or 33208 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 12749952 is about 3570.7074929207. The cubic root of 12749952 is about 233.6161432517.

The spelling of 12749952 in words is "twelve million, seven hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 33203 66406 99609 132812 199218 265624 398436 531248 796872 1062496 1593744 2124992 3187488 4249984 6374976 12749952