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42140868 = 22371159773
BaseRepresentation
bin1010000011000…
…0010011000100
32221021222101220
42200300103010
541242001433
64103120340
71021122450
oct240602304
987258356
1042140868
1121873070
12121430b0
138966133
14584d660
153a762b3
hex28304c4

42140868 has 96 divisors (see below), whose sum is σ = 124830720. Its totient is φ = 10746240.

The previous prime is 42140867. The next prime is 42140869. The reversal of 42140868 is 86804124.

It is an interprime number because it is at equal distance from previous prime (42140867) and next prime (42140869).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (42140867) 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, 54130 + ... + 54902.

It is an arithmetic number, because the mean of its divisors is an integer number (1300320).

Almost surely, 242140868 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 42140868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62415360).

42140868 is an abundant number, since it is smaller than the sum of its proper divisors (82689852).

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

42140868 is a wasteful number, since it uses less digits than its factorization.

42140868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42140868 is about 6491.5998028221. The cubic root of 42140868 is about 347.9908505984.

The spelling of 42140868 in words is "forty-two million, one hundred forty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 59 66 77 84 118 132 154 177 231 236 308 354 413 462 649 708 773 826 924 1239 1298 1546 1652 1947 2319 2478 2596 3092 3894 4543 4638 4956 5411 7788 8503 9086 9276 10822 13629 16233 17006 18172 21644 25509 27258 32466 34012 45607 51018 54516 59521 64932 91214 102036 119042 136821 178563 182428 238084 273642 319249 357126 501677 547284 638498 714252 957747 1003354 1276996 1505031 1915494 2006708 3010062 3511739 3830988 6020124 7023478 10535217 14046956 21070434 42140868