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42342636 = 22372112389
BaseRepresentation
bin1010000110000…
…1100011101100
32221200020011210
42201201203230
541314431021
64111314420
71022622630
oct241414354
987606153
1042342636
11219a0716
121221ba10
138a06c1b
1458a2dc0
153ab5e76
hex28618ec

42342636 has 48 divisors (see below), whose sum is σ = 113496320. Its totient is φ = 12035520.

The previous prime is 42342617. The next prime is 42342647. The reversal of 42342636 is 63624324.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 16530 + ... + 18918.

Almost surely, 242342636 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 42342636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56748160).

42342636 is an abundant number, since it is smaller than the sum of its proper divisors (71153684).

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

42342636 is a wasteful number, since it uses less digits than its factorization.

42342636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2614 (or 2612 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 42342636 is about 6507.1219444544. The cubic root of 42342636 is about 348.5453531447.

The spelling of 42342636 in words is "forty-two million, three hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 422 633 844 1266 1477 2389 2532 2954 4431 4778 5908 7167 8862 9556 14334 16723 17724 28668 33446 50169 66892 100338 200676 504079 1008158 1512237 2016316 3024474 3528553 6048948 7057106 10585659 14114212 21171318 42342636