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42575973 = 31117292617
BaseRepresentation
bin1010001001101…
…0100001100101
32222010002020220
42202122201211
541344412343
64120314553
71024614126
oct242324145
988102226
1042575973
112203aa60
1212312a59
138a891ab
14592404d
153b10183
hex289a865

42575973 has 32 divisors (see below), whose sum is σ = 67858560. Its totient is φ = 23439360.

The previous prime is 42575971. The next prime is 42576019. The reversal of 42575973 is 37957524.

It is not a de Polignac number, because 42575973 - 21 = 42575971 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42575971) 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 31 ways as a sum of consecutive naturals, for example, 14961 + ... + 17577.

It is an arithmetic number, because the mean of its divisors is an integer number (2120580).

Almost surely, 242575973 is an apocalyptic number.

It is an amenable number.

42575973 is a deficient number, since it is larger than the sum of its proper divisors (25282587).

42575973 is a wasteful number, since it uses less digits than its factorization.

42575973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2677.

The product of its digits is 264600, while the sum is 42.

The square root of 42575973 is about 6525.0266666122. The cubic root of 42575973 is about 349.1844220865.

The spelling of 42575973 in words is "forty-two million, five hundred seventy-five thousand, nine hundred seventy-three".

Divisors: 1 3 11 17 29 33 51 87 187 319 493 561 957 1479 2617 5423 7851 16269 28787 44489 75893 86361 133467 227679 489379 834823 1290181 1468137 2504469 3870543 14191991 42575973