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42023952 = 2432291833
BaseRepresentation
bin1010000001001…
…1110000010000
32221002001000200
42200103300100
541224231302
64100415200
71020124545
oct240236020
987061020
1042023952
11217a3243
12120a7500
138924b59
14581cbcc
153a5181c
hex2813c10

42023952 has 30 divisors (see below), whose sum is σ = 117609102. Its totient is φ = 14007936.

The previous prime is 42023951. The next prime is 42023957. The reversal of 42023952 is 25932024.

42023952 is a `hidden beast` number, since 420 + 239 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40908816 + 1115136 = 6396^2 + 1056^2 .

It is not an unprimeable number, because it can be changed into a prime (42023951) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145773 + ... + 146060.

Almost surely, 242023952 is an apocalyptic number.

It is an amenable number.

42023952 is an abundant number, since it is smaller than the sum of its proper divisors (75585150).

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

42023952 is a wasteful number, since it uses less digits than its factorization.

42023952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291847 (or 291838 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42023952 is about 6482.5883719391. The cubic root of 42023952 is about 347.6687295429.

Adding to 42023952 its reverse (25932024), we get a palindrome (67955976).

The spelling of 42023952 in words is "forty-two million, twenty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 291833 583666 875499 1167332 1750998 2334664 2626497 3501996 4669328 5252994 7003992 10505988 14007984 21011976 42023952