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42005790 = 234551859
BaseRepresentation
bin1010000000111…
…1010100011110
32221001010010000
42200033110132
541223141130
64100155130
71020020601
oct240172436
987033100
1042005790
1121790632
1212098aa6
1389197c8
145816338
153a4b260
hex280f51e

42005790 has 40 divisors (see below), whose sum is σ = 112951080. Its totient is φ = 11201328.

The previous prime is 42005783. The next prime is 42005807. The reversal of 42005790 is 9750024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25120 + ... + 26739.

It is an arithmetic number, because the mean of its divisors is an integer number (2823777).

Almost surely, 242005790 is an apocalyptic number.

42005790 is an abundant number, since it is smaller than the sum of its proper divisors (70945290).

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

42005790 is a wasteful number, since it uses less digits than its factorization.

42005790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51878 (or 51869 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 42005790 is about 6481.1873912116. The cubic root of 42005790 is about 347.6186369248.

The spelling of 42005790 in words is "forty-two million, five thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 51859 103718 155577 259295 311154 466731 518590 777885 933462 1400193 1555770 2333655 2800386 4200579 4667310 7000965 8401158 14001930 21002895 42005790