Search a number
-
+
12292752 = 243298831
BaseRepresentation
bin101110111001…
…001010010000
3212010112111010
4232321022100
511121332002
61115250520
7206325633
oct56711220
925115433
1012292752
116a367aa
124149a40
132715324
1418bdc1a
15112c46c
hexbb9290

12292752 has 40 divisors (see below), whose sum is σ = 32855040. Its totient is φ = 3955840.

The previous prime is 12292739. The next prime is 12292757. The reversal of 12292752 is 25729221.

It is a super-2 number, since 2×122927522 = 302223503467008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12292757) 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 7 ways as a sum of consecutive naturals, for example, 3024 + ... + 5807.

It is an arithmetic number, because the mean of its divisors is an integer number (821376).

Almost surely, 212292752 is an apocalyptic number.

12292752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12292752 is an abundant number, since it is smaller than the sum of its proper divisors (20562288).

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

12292752 is a wasteful number, since it uses less digits than its factorization.

12292752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 8865 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 12292752 is about 3506.1021091805. The cubic root of 12292752 is about 230.7896738129.

The spelling of 12292752 in words is "twelve million, two hundred ninety-two thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 8831 17662 26493 35324 52986 70648 105972 141296 211944 256099 423888 512198 768297 1024396 1536594 2048792 3073188 4097584 6146376 12292752