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42232590 = 2345173067
BaseRepresentation
bin1010000100011…
…0101100001110
32221110122020000
42201012230032
541302420330
64105105130
71021654041
oct241065416
987418200
1042232590
1121925a74
12121881a6
138998aca
145874c58
153a93560
hex2846b0e

42232590 has 80 divisors (see below), whose sum is σ = 120277872. Its totient is φ = 10596096.

The previous prime is 42232543. The next prime is 42232591. The reversal of 42232590 is 9523224.

42232590 is a `hidden beast` number, since 42 + 2 + 32 + 590 = 666.

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 not an unprimeable number, because it can be changed into a prime (42232591) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 12237 + ... + 15303.

Almost surely, 242232590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42232590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60138936).

42232590 is an abundant number, since it is smaller than the sum of its proper divisors (78045282).

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

42232590 is a wasteful number, since it uses less digits than its factorization.

42232590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3094 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42232590 is about 6498.6606312378. The cubic root of 42232590 is about 348.2431416155.

The spelling of 42232590 in words is "forty-two million, two hundred thirty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 3067 4590 6134 6885 9201 13770 15335 18402 27603 30670 46005 52139 55206 82809 92010 104278 138015 156417 165618 248427 260695 276030 312834 414045 469251 496854 521390 782085 828090 938502 1242135 1407753 1564170 2346255 2484270 2815506 4223259 4692510 7038765 8446518 14077530 21116295 42232590