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42569010 = 23351121303
BaseRepresentation
bin1010001001100…
…0110100110010
32222002201201000
42202120310302
541344202020
64120222430
71024554621
oct242306462
988081630
1042569010
1122035800
121230aa16
138a85c83
1459216b8
153b0d090
hex2898d32

42569010 has 96 divisors (see below), whose sum is σ = 124871040. Its totient is φ = 10311840.

The previous prime is 42568997. The next prime is 42569041. The reversal of 42569010 is 1096524.

It is a super-2 number, since 2×425690102 = 3624241224760200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 32019 + ... + 33321.

It is an arithmetic number, because the mean of its divisors is an integer number (1300740).

Almost surely, 242569010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42569010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62435520).

42569010 is an abundant number, since it is smaller than the sum of its proper divisors (82302030).

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

42569010 is a wasteful number, since it uses less digits than its factorization.

42569010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1324 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42569010 is about 6524.4930837575. The cubic root of 42569010 is about 349.1653854992.

The spelling of 42569010 in words is "forty-two million, five hundred sixty-nine thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 726 990 1089 1210 1303 1485 1815 2178 2606 2970 3267 3630 3909 5445 6515 6534 7818 10890 11727 13030 14333 16335 19545 23454 28666 32670 35181 39090 42999 58635 70362 71665 85998 117270 128997 143330 157663 175905 214995 257994 315326 351810 386991 429990 472989 644985 773982 788315 945978 1289970 1418967 1576630 1934955 2364945 2837934 3869910 4256901 4729890 7094835 8513802 14189670 21284505 42569010