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42529576 = 2323376247
BaseRepresentation
bin1010001000111…
…1001100101000
32222000201121111
42202033030220
541341421301
64115320104
71024331635
oct242171450
988021544
1042529576
1122009111
12122b0034
138a7103b
14591118c
153b01551
hex288f328

42529576 has 32 divisors (see below), whose sum is σ = 85472640. Its totient is φ = 19787328.

The previous prime is 42529559. The next prime is 42529579. The reversal of 42529576 is 67592524.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42529579) 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 7 ways as a sum of consecutive naturals, for example, 3685 + ... + 9931.

It is an arithmetic number, because the mean of its divisors is an integer number (2671020).

Almost surely, 242529576 is an apocalyptic number.

42529576 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42529576 is an abundant number, since it is smaller than the sum of its proper divisors (42943064).

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

42529576 is a wasteful number, since it uses less digits than its factorization.

42529576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6309 counting only the distinct ones).

The product of its digits is 151200, while the sum is 40.

The square root of 42529576 is about 6521.4703863469. The cubic root of 42529576 is about 349.0575351979.

The spelling of 42529576 in words is "forty-two million, five hundred twenty-nine thousand, five hundred seventy-six".

Divisors: 1 2 4 8 23 37 46 74 92 148 184 296 851 1702 3404 6247 6808 12494 24988 49976 143681 231139 287362 462278 574724 924556 1149448 1849112 5316197 10632394 21264788 42529576