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42042138 = 23313741149
BaseRepresentation
bin1010000001100…
…0001100011010
32221002221222020
42200120030122
541230322023
64101035310
71020231555
oct240301432
987087866
1042042138
1121805976
12120b5b36
138930208
14582569c
153a56de3
hex281831a

42042138 has 64 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 12787200.

The previous prime is 42042109. The next prime is 42042151. The reversal of 42042138 is 83124024.

It is a super-2 number, since 2×420421382 = 3535082735222088, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282088 + ... + 282236.

It is an arithmetic number, because the mean of its divisors is an integer number (1436400).

Almost surely, 242042138 is an apocalyptic number.

42042138 is an abundant number, since it is smaller than the sum of its proper divisors (49887462).

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

42042138 is a wasteful number, since it uses less digits than its factorization.

42042138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42042138 is about 6483.9909006722. The cubic root of 42042138 is about 347.7188738961.

The spelling of 42042138 in words is "forty-two million, forty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 31 37 41 62 74 82 93 111 123 149 186 222 246 298 447 894 1147 1271 1517 2294 2542 3034 3441 3813 4551 4619 5513 6109 6882 7626 9102 9238 11026 12218 13857 16539 18327 27714 33078 36654 47027 94054 141081 170903 189379 226033 282162 341806 378758 452066 512709 568137 678099 1025418 1136274 1356198 7007023 14014046 21021069 42042138