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42037688 = 2372119749
BaseRepresentation
bin1010000001011…
…1000110111000
32221002201212102
42200113012320
541230201223
64101002532
71020212600
oct240270670
987081772
1042037688
11218025a0
12120b3448
13892b194
145823c00
153a55928
hex28171b8

42037688 has 48 divisors (see below), whose sum is σ = 100035000. Its totient is φ = 16376640.

The previous prime is 42037679. The next prime is 42037691. The reversal of 42037688 is 88673024.

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 11 ways as a sum of consecutive naturals, for example, 563 + ... + 9186.

Almost surely, 242037688 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 42037688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50017500).

42037688 is an abundant number, since it is smaller than the sum of its proper divisors (57997312).

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

42037688 is a wasteful number, since it uses less digits than its factorization.

42037688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9780 (or 9769 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 42037688 is about 6483.6477387347. The cubic root of 42037688 is about 347.7066052242.

The spelling of 42037688 in words is "forty-two million, thirty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 154 196 308 392 539 616 1078 2156 4312 9749 19498 38996 68243 77992 107239 136486 214478 272972 428956 477701 545944 750673 857912 955402 1501346 1910804 3002692 3821608 5254711 6005384 10509422 21018844 42037688