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42023252 = 22171973137
BaseRepresentation
bin1010000001001…
…1100101010100
32221002000001202
42200103211110
541224221002
64100412032
71020122525
oct240234524
987060052
1042023252
11217a2767
12120a7018
13892473b
14581c84c
153a51502
hex2813954

42023252 has 24 divisors (see below), whose sum is σ = 78286824. Its totient is φ = 19668992.

The previous prime is 42023251. The next prime is 42023263. The reversal of 42023252 is 25232024.

It can be written as a sum of positive squares in 4 ways, for example, as 37503376 + 4519876 = 6124^2 + 2126^2 .

It is a super-3 number, since 3×420232523 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42023251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11828 + ... + 14964.

It is an arithmetic number, because the mean of its divisors is an integer number (3261951).

Almost surely, 242023252 is an apocalyptic number.

It is an amenable number.

42023252 is a deficient number, since it is larger than the sum of its proper divisors (36263572).

42023252 is a wasteful number, since it uses less digits than its factorization.

42023252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3355 (or 3353 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42023252 is about 6482.5343809347. The cubic root of 42023252 is about 347.6667991401. Note that the first 3 decimals are identical.

Adding to 42023252 its reverse (25232024), we get a palindrome (67255276).

The spelling of 42023252 in words is "forty-two million, twenty-three thousand, two hundred fifty-two".

Divisors: 1 2 4 17 34 68 197 394 788 3137 3349 6274 6698 12548 13396 53329 106658 213316 617989 1235978 2471956 10505813 21011626 42023252