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42073540 = 22510631979
BaseRepresentation
bin1010000001111…
…1110111000100
32221011120001021
42200133313010
541232323130
64101440524
71020422245
oct240376704
987146037
1042073540
1121827523
1212110144
1389415b2
145832ccc
153a6137a
hex281fdc4

42073540 has 24 divisors (see below), whose sum is σ = 88482240. Its totient is φ = 16805088.

The previous prime is 42073529. The next prime is 42073547. The reversal of 42073540 is 4537024.

42073540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42073547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20271 + ... + 22249.

It is an arithmetic number, because the mean of its divisors is an integer number (3686760).

Almost surely, 242073540 is an apocalyptic number.

It is an amenable number.

42073540 is an abundant number, since it is smaller than the sum of its proper divisors (46408700).

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

42073540 is a wasteful number, since it uses less digits than its factorization.

42073540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3051 (or 3049 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 25.

The square root of 42073540 is about 6486.4119511483. The cubic root of 42073540 is about 347.8054247645.

The spelling of 42073540 in words is "forty-two million, seventy-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1063 1979 2126 3958 4252 5315 7916 9895 10630 19790 21260 39580 2103677 4207354 8414708 10518385 21036770 42073540