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47112312 = 23313314871
BaseRepresentation
bin1011001110111…
…0000001111000
310021122112221110
42303232001320
544030043222
64401440320
71111306452
oct263560170
9107575843
1047112312
11246591a5
12139400a0
1399b6c10
1463852d2
15420930c
hex2cee078

47112312 has 64 divisors (see below), whose sum is σ = 130959360. Its totient is φ = 14025600.

The previous prime is 47112311. The next prime is 47112319. The reversal of 47112312 is 21321174.

47112312 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 (47112311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7237 + ... + 12107.

It is an arithmetic number, because the mean of its divisors is an integer number (2046240).

Almost surely, 247112312 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 47112312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65479680).

47112312 is an abundant number, since it is smaller than the sum of its proper divisors (83847048).

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

47112312 is a wasteful number, since it uses less digits than its factorization.

47112312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4924 (or 4920 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 47112312 is about 6863.8409072472. The cubic root of 47112312 is about 361.1698364209.

Adding to 47112312 its reverse (21321174), we get a palindrome (68433486).

The spelling of 47112312 in words is "forty-seven million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 4871 9672 9742 14613 19484 29226 38968 58452 63323 116904 126646 151001 189969 253292 302002 379938 453003 506584 604004 759876 906006 1208008 1519752 1812012 1963013 3624024 3926026 5889039 7852052 11778078 15704104 23556156 47112312