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47286342 = 235149653
BaseRepresentation
bin1011010001100…
…0100001000110
310021222101200000
42310120201012
544101130332
64405302130
71112633025
oct264304106
9107871600
1047286342
1124767a24
1213a04946
139a481ac
1463cc8bc
154240b7c
hex2d18846

47286342 has 48 divisors (see below), whose sum is σ = 107125200. Its totient is φ = 15632352.

The previous prime is 47286341. The next prime is 47286353. The reversal of 47286342 is 24368274.

It is a junction number, because it is equal to n+sod(n) for n = 47286297 and 47286306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47286341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72088 + ... + 72740.

It is an arithmetic number, because the mean of its divisors is an integer number (2231775).

Almost surely, 247286342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47286342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53562600).

47286342 is an abundant number, since it is smaller than the sum of its proper divisors (59838858).

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

47286342 is a wasteful number, since it uses less digits than its factorization.

47286342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819 (or 807 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 47286342 is about 6876.5065258458. The cubic root of 47286342 is about 361.6140030586.

The spelling of 47286342 in words is "forty-seven million, two hundred eighty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 149 162 243 298 447 486 653 894 1306 1341 1959 2682 3918 4023 5877 8046 11754 12069 17631 24138 35262 36207 52893 72414 97297 105786 158679 194594 291891 317358 583782 875673 1751346 2627019 5254038 7881057 15762114 23643171 47286342