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42522642 = 232292532
BaseRepresentation
bin1010001000110…
…1100000010010
32222000101002200
42202031200102
541341211032
64115224030
71024302501
oct242154022
988011080
1042522642
1122003988
12122a8016
138a6ab36
14590c838
153aee47c
hex288d812

42522642 has 54 divisors (see below), whose sum is σ = 97253247. Its totient is φ = 13427232.

The previous prime is 42522611. The next prime is 42522677. The reversal of 42522642 is 24622524.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 31573161 + 10949481 = 5619^2 + 3309^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4611.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 802288 + ... + 802340.

Almost surely, 242522642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42522642

42522642 is an abundant number, since it is smaller than the sum of its proper divisors (54730605).

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

42522642 is a wasteful number, since it uses less digits than its factorization.

42522642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 87 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 42522642 is about 6520.9387361023. The cubic root of 42522642 is about 349.0385641137.

The spelling of 42522642 in words is "forty-two million, five hundred twenty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 159 174 261 318 477 522 841 954 1537 1682 2523 2809 3074 4611 5046 5618 7569 8427 9222 13833 15138 16854 25281 27666 44573 50562 81461 89146 133719 162922 244383 267438 401157 488766 733149 802314 1466298 2362369 4724738 7087107 14174214 21261321 42522642