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42641874 = 23211283761
BaseRepresentation
bin1010001010101…
…0100111010010
32222020102122200
42202222213102
541404014444
64121544030
71025310222
oct242524722
988212580
1042641874
1122085520
1212345016
138ab01a2
145940082
153b24969
hex28aa9d2

42641874 has 48 divisors (see below), whose sum is σ = 101278944. Its totient is φ = 12859200.

The previous prime is 42641873. The next prime is 42641881. The reversal of 42641874 is 47814624.

42641874 is a `hidden beast` number, since 4 + 2 + 641 + 8 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (42641873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55654 + ... + 56414.

It is an arithmetic number, because the mean of its divisors is an integer number (2109978).

Almost surely, 242641874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42641874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50639472).

42641874 is an abundant number, since it is smaller than the sum of its proper divisors (58637070).

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

42641874 is a wasteful number, since it uses less digits than its factorization.

42641874 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063 (or 1060 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 42641874 is about 6530.0745784409. The cubic root of 42641874 is about 349.3644903142.

The spelling of 42641874 in words is "forty-two million, six hundred forty-one thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 283 566 761 849 1522 1698 2283 2547 3113 4566 5094 6226 6849 8371 9339 13698 16742 18678 25113 28017 50226 56034 75339 150678 215363 430726 646089 1292178 1938267 2368993 3876534 4737986 7106979 14213958 21320937 42641874