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42791880 = 2335438293
BaseRepresentation
bin1010001100111…
…1001111001000
32222112001102110
42203033033020
541423320010
64125102320
71026503445
oct243171710
988461373
1042791880
112217819a
12123b79a0
138b33551
14597c9cc
153b54120
hex28cf3c8

42791880 has 64 divisors (see below), whose sum is σ = 131376960. Its totient is φ = 11144448.

The previous prime is 42791863. The next prime is 42791893. The reversal of 42791880 is 8819724.

42791880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×427918802 = 3662289987868800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 1014 + ... + 9306.

It is an arithmetic number, because the mean of its divisors is an integer number (2052765).

Almost surely, 242791880 is an apocalyptic number.

42791880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42791880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65688480).

42791880 is an abundant number, since it is smaller than the sum of its proper divisors (88585080).

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

42791880 is a wasteful number, since it uses less digits than its factorization.

42791880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8350 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 42791880 is about 6541.5502749731. The cubic root of 42791880 is about 349.7736768117.

The spelling of 42791880 in words is "forty-two million, seven hundred ninety-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 8293 16586 24879 33172 41465 49758 66344 82930 99516 124395 165860 199032 248790 331720 356599 497580 713198 995160 1069797 1426396 1782995 2139594 2852792 3565990 4279188 5348985 7131980 8558376 10697970 14263960 21395940 42791880