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42512316 = 223711139331
BaseRepresentation
bin1010001000101…
…0111110111100
32221222211221020
42202022332330
541340343231
64115104140
71024230420
oct242127674
987884836
1042512316
1121aa7150
12122a2050
138a66222
145908b80
153aeb396
hex288afbc

42512316 has 96 divisors (see below), whose sum is σ = 124938240. Its totient is φ = 10929600.

The previous prime is 42512311. The next prime is 42512317. The reversal of 42512316 is 61321524.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42512311) 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, 128271 + ... + 128601.

It is an arithmetic number, because the mean of its divisors is an integer number (1301440).

Almost surely, 242512316 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 42512316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62469120).

42512316 is an abundant number, since it is smaller than the sum of its proper divisors (82425924).

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

42512316 is a wasteful number, since it uses less digits than its factorization.

42512316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 493 counting only the distinct ones).

The product of its digits is 1440, while the sum is 24.

The square root of 42512316 is about 6520.1469308598. The cubic root of 42512316 is about 349.0103088610.

The spelling of 42512316 in words is "forty-two million, five hundred twelve thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 139 154 231 278 308 331 417 462 556 662 834 924 973 993 1324 1529 1668 1946 1986 2317 2919 3058 3641 3892 3972 4587 4634 5838 6116 6951 7282 9174 9268 10703 10923 11676 13902 14564 18348 21406 21846 25487 27804 32109 42812 43692 46009 50974 64218 76461 92018 101948 128436 138027 152922 184036 276054 305844 322063 506099 552108 644126 966189 1012198 1288252 1518297 1932378 2024396 3036594 3542693 3864756 6073188 7085386 10628079 14170772 21256158 42512316