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42520086 = 2337197571
BaseRepresentation
bin1010001000110…
…0111000010110
32222000020121000
42202030320112
541341120321
64115204130
71024262160
oct242147026
988006530
1042520086
1122001a74
12122a6646
138a6991b
14590b930
153aed826
hex288ce16

42520086 has 64 divisors (see below), whose sum is σ = 108725760. Its totient is φ = 12065760.

The previous prime is 42520063. The next prime is 42520097. The reversal of 42520086 is 68002524.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74181 + ... + 74751.

It is an arithmetic number, because the mean of its divisors is an integer number (1698840).

Almost surely, 242520086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42520086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54362880).

42520086 is an abundant number, since it is smaller than the sum of its proper divisors (66205674).

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

42520086 is a wasteful number, since it uses less digits than its factorization.

42520086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42520086 is about 6520.7427491046. The cubic root of 42520086 is about 349.0315705028.

The spelling of 42520086 in words is "forty-two million, five hundred twenty thousand, eighty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 197 378 394 571 591 1142 1182 1379 1713 1773 2758 3426 3546 3997 4137 5139 5319 7994 8274 10278 10638 11991 12411 15417 23982 24822 30834 35973 37233 71946 74466 107919 112487 215838 224974 337461 674922 787409 1012383 1574818 2024766 2362227 3037149 4724454 6074298 7086681 14173362 21260043 42520086