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42023253 = 373311617
BaseRepresentation
bin1010000001001…
…1100101010101
32221002000001210
42200103211111
541224221003
64100412033
71020122526
oct240234525
987060053
1042023253
11217a2768
12120a7019
13892473c
14581c84d
153a51503
hex2813955

42023253 has 16 divisors (see below), whose sum is σ = 57073536. Its totient is φ = 27498240.

The previous prime is 42023251. The next prime is 42023263. The reversal of 42023253 is 35232024.

It is not a de Polignac number, because 42023253 - 21 = 42023251 is a prime.

It is a super-3 number, since 3×420232533 (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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67801 + ... + 68417.

It is an arithmetic number, because the mean of its divisors is an integer number (3567096).

Almost surely, 242023253 is an apocalyptic number.

It is an amenable number.

42023253 is a deficient number, since it is larger than the sum of its proper divisors (15050283).

42023253 is a wasteful number, since it uses less digits than its factorization.

42023253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004.

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 42023253 is about 6482.5344580650. The cubic root of 42023253 is about 347.6668018978. Note that the first 3 decimals are identical.

Adding to 42023253 its reverse (35232024), we get a palindrome (77255277).

The spelling of 42023253 in words is "forty-two million, twenty-three thousand, two hundred fifty-three".

Divisors: 1 3 73 219 311 617 933 1851 22703 45041 68109 135123 191887 575661 14007751 42023253