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42590933 = 7111732537
BaseRepresentation
bin1010001001111…
…0001011010101
32222010211202222
42202132023111
541400402213
64120512125
71025005550
oct242361325
988124688
1042590933
1122050220
121231b645
138a92c48
145929697
153b14808
hex289e2d5

42590933 has 16 divisors (see below), whose sum is σ = 56225664. Its totient is φ = 31234560.

The previous prime is 42590927. The next prime is 42590957. The reversal of 42590933 is 33909524.

42590933 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-42590933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42590893 and 42590902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42590903) 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 15 ways as a sum of consecutive naturals, for example, 14960 + ... + 17577.

It is an arithmetic number, because the mean of its divisors is an integer number (3514104).

Almost surely, 242590933 is an apocalyptic number.

It is an amenable number.

42590933 is a deficient number, since it is larger than the sum of its proper divisors (13634731).

42590933 is a wasteful number, since it uses less digits than its factorization.

42590933 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32572.

The product of its (nonzero) digits is 29160, while the sum is 35.

The square root of 42590933 is about 6526.1729213989. The cubic root of 42590933 is about 349.2253151605.

The spelling of 42590933 in words is "forty-two million, five hundred ninety thousand, nine hundred thirty-three".

Divisors: 1 7 11 17 77 119 187 1309 32537 227759 357907 553129 2505349 3871903 6084419 42590933