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47442032 = 24111092473
BaseRepresentation
bin1011010011111…
…0100001110000
310022021022020022
42310332201300
544121121112
64412503012
71114151651
oct264764160
9108238208
1047442032
11248639a0
1213a7aa68
139aa1011
14642d528
154271d72
hex2d3e870

47442032 has 40 divisors (see below), whose sum is σ = 101236080. Its totient is φ = 21358080.

The previous prime is 47442011. The next prime is 47442037. The reversal of 47442032 is 23024474.

47442032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 47441992 and 47442010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47442037) 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 7 ways as a sum of consecutive naturals, for example, 17948 + ... + 20420.

It is an arithmetic number, because the mean of its divisors is an integer number (2530902).

Almost surely, 247442032 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 47442032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50618040).

47442032 is an abundant number, since it is smaller than the sum of its proper divisors (53794048).

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

47442032 is a wasteful number, since it uses less digits than its factorization.

47442032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2601 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 47442032 is about 6887.8176514771. The cubic root of 47442032 is about 362.0104389408.

It can be divided in two parts, 4744 and 2032, that added together give a palindrome (6776).

The spelling of 47442032 in words is "forty-seven million, four hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 872 1199 1744 2398 2473 4796 4946 9592 9892 19184 19784 27203 39568 54406 108812 217624 269557 435248 539114 1078228 2156456 2965127 4312912 5930254 11860508 23721016 47442032