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42965934 = 23115371173
BaseRepresentation
bin1010001111100…
…1101110101110
32222211220011220
42203321232232
541444402214
64132524210
71031130054
oct243715656
988756156
1042965934
1122286a40
1212480666
138b9483b
1459c61d4
153b8a9a9
hex28f9bae

42965934 has 64 divisors (see below), whose sum is σ = 97417728. Its totient is φ = 12521600.

The previous prime is 42965933. The next prime is 42965939. The reversal of 42965934 is 43956924.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42965933) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248272 + ... + 248444.

It is an arithmetic number, because the mean of its divisors is an integer number (1522152).

Almost surely, 242965934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42965934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48708864).

42965934 is an abundant number, since it is smaller than the sum of its proper divisors (54451794).

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

42965934 is a wasteful number, since it uses less digits than its factorization.

42965934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its digits is 233280, while the sum is 42.

The square root of 42965934 is about 6554.8405014920. The cubic root of 42965934 is about 350.2472647294.

The spelling of 42965934 in words is "forty-two million, nine hundred sixty-five thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 53 66 71 106 142 159 173 213 318 346 426 519 583 781 1038 1166 1562 1749 1903 2343 3498 3763 3806 4686 5709 7526 9169 11289 11418 12283 18338 22578 24566 27507 36849 41393 55014 73698 82786 100859 124179 135113 201718 248358 270226 302577 405339 605154 650999 810678 1301998 1952997 3905994 7160989 14321978 21482967 42965934