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42515946 = 23211172743
BaseRepresentation
bin1010001000101…
…1110111101010
32222000000220200
42202023313222
541341002241
64115133030
71024244124
oct242136752
988000820
1042515946
1121aa9950
12122a4176
138a67a85
14590a214
153aec4b6
hex288bdea

42515946 has 72 divisors (see below), whose sum is σ = 106894944. Its totient is φ = 12109440.

The previous prime is 42515933. The next prime is 42515947. The reversal of 42515946 is 64951524.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42515946.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42515947) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56851 + ... + 57593.

It is an arithmetic number, because the mean of its divisors is an integer number (1484652).

Almost surely, 242515946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42515946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53447472).

42515946 is an abundant number, since it is smaller than the sum of its proper divisors (64378998).

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

42515946 is a wasteful number, since it uses less digits than its factorization.

42515946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 776 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 42515946 is about 6520.4252928778. The cubic root of 42515946 is about 349.0202422284.

The spelling of 42515946 in words is "forty-two million, five hundred fifteen thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 289 306 374 561 578 743 867 1122 1486 1683 1734 2229 2601 3179 3366 4458 5202 6358 6687 8173 9537 12631 13374 16346 19074 24519 25262 28611 37893 49038 57222 73557 75786 113679 138941 147114 214727 227358 277882 416823 429454 644181 833646 1250469 1288362 1932543 2361997 2500938 3865086 4723994 7085991 14171982 21257973 42515946