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42887292 = 22373713799
BaseRepresentation
bin1010001110011…
…0100001111100
32222200220022020
42203212201330
541434343132
64131120140
71030351560
oct243464174
988626266
1042887292
1122232948
1212443050
138b67ac6
1459a56a0
153b7252c
hex28e687c

42887292 has 48 divisors (see below), whose sum is σ = 117465600. Its totient is φ = 11921472.

The previous prime is 42887279. The next prime is 42887309. The reversal of 42887292 is 29278824.

42887292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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, 3792 + ... + 10007.

It is an arithmetic number, because the mean of its divisors is an integer number (2447200).

Almost surely, 242887292 is an apocalyptic number.

42887292 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42887292 is an abundant number, since it is smaller than the sum of its proper divisors (74578308).

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

42887292 is a wasteful number, since it uses less digits than its factorization.

42887292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13850 (or 13848 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 42887292 is about 6548.8389810714. The cubic root of 42887292 is about 350.0334444231.

The spelling of 42887292 in words is "forty-two million, eight hundred eighty-seven thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 111 148 222 259 444 518 777 1036 1554 3108 13799 27598 41397 55196 82794 96593 165588 193186 289779 386372 510563 579558 1021126 1159116 1531689 2042252 3063378 3573941 6126756 7147882 10721823 14295764 21443646 42887292