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42860790 = 2325729719
BaseRepresentation
bin1010001110000…
…0000011110110
32222122112221200
42203200003312
541433021130
64130353330
71030211400
oct243400366
988575850
1042860790
1122214a45
121242b846
138b58a1b
145999b70
153b69760
hex28e00f6

42860790 has 72 divisors (see below), whose sum is σ = 129645360. Its totient is φ = 9795744.

The previous prime is 42860777. The next prime is 42860801. The reversal of 42860790 is 9706824.

42860790 is a `hidden beast` number, since 42 + 8 + 607 + 9 + 0 = 666.

It is a congruent 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 35 ways as a sum of consecutive naturals, for example, 450 + ... + 9269.

It is an arithmetic number, because the mean of its divisors is an integer number (1800630).

Almost surely, 242860790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42860790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64822680).

42860790 is an abundant number, since it is smaller than the sum of its proper divisors (86784570).

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

42860790 is a wasteful number, since it uses less digits than its factorization.

42860790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9736 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 42860790 is about 6546.8152562906. The cubic root of 42860790 is about 349.9613290608.

The spelling of 42860790 in words is "forty-two million, eight hundred sixty thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 9719 19438 29157 48595 58314 68033 87471 97190 136066 145785 174942 204099 291570 340165 408198 437355 476231 612297 680330 874710 952462 1020495 1224594 1428693 2040990 2381155 2857386 3061485 4286079 4762310 6122970 7143465 8572158 14286930 21430395 42860790