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42023813 = 1317297983
BaseRepresentation
bin1010000001001…
…1101110000101
32221002000211112
42200103232011
541224230223
64100414405
71020124256
oct240235605
987060745
1042023813
11217a3127
12120a7405
138924a80
14581cb2d
153a51778
hex2813b85

42023813 has 32 divisors (see below), whose sum is σ = 50803200. Its totient is φ = 34384896.

The previous prime is 42023809. The next prime is 42023819. The reversal of 42023813 is 31832024.

It is not a de Polignac number, because 42023813 - 22 = 42023809 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023819) 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, 506270 + ... + 506352.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 242023813 is an apocalyptic number.

It is an amenable number.

42023813 is a deficient number, since it is larger than the sum of its proper divisors (8779387).

42023813 is a wasteful number, since it uses less digits than its factorization.

42023813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42023813 is about 6482.5776509040. The cubic root of 42023813 is about 347.6683462217.

Adding to 42023813 its reverse (31832024), we get a palindrome (73855837).

The spelling of 42023813 in words is "forty-two million, twenty-three thousand, eight hundred thirteen".

Divisors: 1 13 17 29 79 83 221 377 493 1027 1079 1343 1411 2291 2407 6409 6557 17459 18343 29783 31291 38947 40919 85241 111469 190153 506311 531947 1449097 2471989 3232601 42023813