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42526932 = 22373471459
BaseRepresentation
bin1010001000111…
…0100011010100
32222000120222120
42202032203110
541341330212
64115255540
71024321140
oct242164324
988016876
1042526932
1122007128
12122aa5b0
138a6ca86
145910220
153b0088c
hex288e8d4

42526932 has 48 divisors (see below), whose sum is σ = 113809920. Its totient is φ = 12107232.

The previous prime is 42526919. The next prime is 42526933. The reversal of 42526932 is 23962524.

It is a super-3 number, since 3×425269323 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42526893 and 42526902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42526933) 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, 28419 + ... + 29877.

It is an arithmetic number, because the mean of its divisors is an integer number (2371040).

Almost surely, 242526932 is an apocalyptic number.

42526932 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42526932 is an abundant number, since it is smaller than the sum of its proper divisors (71282988).

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

42526932 is a wasteful number, since it uses less digits than its factorization.

42526932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its digits is 25920, while the sum is 33.

The square root of 42526932 is about 6521.2676681762. The cubic root of 42526932 is about 349.0503015867.

The spelling of 42526932 in words is "forty-two million, five hundred twenty-six thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 347 694 1041 1388 1459 2082 2429 2918 4164 4377 4858 5836 7287 8754 9716 10213 14574 17508 20426 29148 30639 40852 61278 122556 506273 1012546 1518819 2025092 3037638 3543911 6075276 7087822 10631733 14175644 21263466 42526932