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42035928 = 23311159227
BaseRepresentation
bin1010000001011…
…0101011011000
32221002122110020
42200112223120
541230122203
64100550440
71020204504
oct240265330
987078406
1042035928
1121801240
12120b2420
13892a43c
145823304
153a55153
hex2816ad8

42035928 has 32 divisors (see below), whose sum is σ = 114644160. Its totient is φ = 12738080.

The previous prime is 42035921. The next prime is 42035941. The reversal of 42035928 is 82953024.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42035921) 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 7 ways as a sum of consecutive naturals, for example, 79350 + ... + 79877.

It is an arithmetic number, because the mean of its divisors is an integer number (3582630).

Almost surely, 242035928 is an apocalyptic number.

It is an amenable number.

42035928 is an abundant number, since it is smaller than the sum of its proper divisors (72608232).

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

42035928 is a wasteful number, since it uses less digits than its factorization.

42035928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159247 (or 159243 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 42035928 is about 6483.5120112482. The cubic root of 42035928 is about 347.7017526566.

The spelling of 42035928 in words is "forty-two million, thirty-five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 159227 318454 477681 636908 955362 1273816 1751497 1910724 3502994 3821448 5254491 7005988 10508982 14011976 21017964 42035928