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42085710 = 23351753173
BaseRepresentation
bin1010000010001…
…0110101001110
32221012011202000
42200202311032
541233220320
64102013130
71020502602
oct240426516
987164660
1042085710
1121835687
12121171a6
138946cb4
145837502
153a64c90
hex2822d4e

42085710 has 128 divisors (see below), whose sum is σ = 121772160. Its totient is φ = 10303488.

The previous prime is 42085679. The next prime is 42085711. The reversal of 42085710 is 1758024.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42085711) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 243184 + ... + 243356.

It is an arithmetic number, because the mean of its divisors is an integer number (951345).

Almost surely, 242085710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42085710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60886080).

42085710 is an abundant number, since it is smaller than the sum of its proper divisors (79686450).

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

42085710 is a wasteful number, since it uses less digits than its factorization.

42085710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 42085710 is about 6487.3499982659. The cubic root of 42085710 is about 347.8389564011.

The spelling of 42085710 in words is "forty-two million, eighty-five thousand, seven hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 53 54 85 90 102 106 135 153 159 170 173 255 265 270 306 318 346 459 477 510 519 530 765 795 865 901 918 954 1038 1431 1530 1557 1590 1730 1802 2295 2385 2595 2703 2862 2941 3114 4505 4590 4671 4770 5190 5406 5882 7155 7785 8109 8823 9010 9169 9342 13515 14310 14705 15570 16218 17646 18338 23355 24327 26469 27030 27507 29410 40545 44115 45845 46710 48654 52938 55014 79407 81090 82521 88230 91690 121635 132345 137535 155873 158814 165042 243270 247563 264690 275070 311746 397035 412605 467619 495126 779365 794070 825210 935238 1237815 1402857 1558730 2338095 2475630 2805714 4208571 4676190 7014285 8417142 14028570 21042855 42085710