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42588953 = 1128313681
BaseRepresentation
bin1010001001110…
…1101100011001
32222010202001122
42202131230121
541400321303
64120455025
71025000021
oct242355431
988122048
1042588953
1122049790
121231a475
138a92084
145928a81
153b13e38
hex289db19

42588953 has 8 divisors (see below), whose sum is σ = 46628256. Its totient is φ = 38577600.

The previous prime is 42588943. The next prime is 42588977. The reversal of 42588953 is 35988524.

42588953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 42588953 - 28 = 42588697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42588943) 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, 3728 + ... + 9953.

It is an arithmetic number, because the mean of its divisors is an integer number (5828532).

Almost surely, 242588953 is an apocalyptic number.

It is an amenable number.

42588953 is a deficient number, since it is larger than the sum of its proper divisors (4039303).

42588953 is a wasteful number, since it uses less digits than its factorization.

42588953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13975.

The product of its digits is 345600, while the sum is 44.

The square root of 42588953 is about 6526.0212227666. The cubic root of 42588953 is about 349.2199033918.

The spelling of 42588953 in words is "forty-two million, five hundred eighty-eight thousand, nine hundred fifty-three".

Divisors: 1 11 283 3113 13681 150491 3871723 42588953