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42091584 = 263415347
BaseRepresentation
bin1010000010010…
…0010001000000
32221012110210120
42200210101000
541233412314
64102100240
71020525663
oct240442100
987173716
1042091584
112183a037
121211a680
138949882
1458396da
153a668a9
hex2824440

42091584 has 56 divisors (see below), whose sum is σ = 114104928. Its totient is φ = 13685760.

The previous prime is 42091561. The next prime is 42091589. The reversal of 42091584 is 48519024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42091589) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5199 + ... + 10545.

It is an arithmetic number, because the mean of its divisors is an integer number (2037588).

Almost surely, 242091584 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 42091584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57052464).

42091584 is an abundant number, since it is smaller than the sum of its proper divisors (72013344).

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

42091584 is a wasteful number, since it uses less digits than its factorization.

42091584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5403 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 42091584 is about 6487.8027097007. The cubic root of 42091584 is about 347.8551385445.

The spelling of 42091584 in words is "forty-two million, ninety-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 5347 7872 10694 16041 21388 32082 42776 64164 85552 128328 171104 219227 256656 342208 438454 513312 657681 876908 1026624 1315362 1753816 2630724 3507632 5261448 7015264 10522896 14030528 21045792 42091584