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47112252 = 22311615851
BaseRepresentation
bin1011001110111…
…0000000111100
310021122112212020
42303232000330
544030043002
64401440140
71111306335
oct263560074
9107575766
1047112252
1124659150
1213940050
1399b6b95
14638528c
1542092bc
hex2cee03c

47112252 has 48 divisors (see below), whose sum is σ = 121908864. Its totient is φ = 14040000.

The previous prime is 47112227. The next prime is 47112259. The reversal of 47112252 is 25221174.

47112252 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 (47112259) 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, 5127 + ... + 10977.

It is an arithmetic number, because the mean of its divisors is an integer number (2539768).

Almost surely, 247112252 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 47112252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60954432).

47112252 is an abundant number, since it is smaller than the sum of its proper divisors (74796612).

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

47112252 is a wasteful number, since it uses less digits than its factorization.

47112252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5928 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 47112252 is about 6863.8365365151. The cubic root of 47112252 is about 361.1696830979.

It can be divided in two parts, 471122 and 52, that added together give a palindrome (471174).

The spelling of 47112252 in words is "forty-seven million, one hundred twelve thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 122 132 183 244 366 671 732 1342 2013 2684 4026 5851 8052 11702 17553 23404 35106 64361 70212 128722 193083 257444 356911 386166 713822 772332 1070733 1427644 2141466 3926021 4282932 7852042 11778063 15704084 23556126 47112252