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42432126 = 2311738807
BaseRepresentation
bin1010000111011…
…1011001111110
32221211202221020
42201313121332
541330312001
64113245010
71023444552
oct241673176
987752836
1042432126
1121a51980
1212263766
138a38889
1458c7862
153ad2736
hex287767e

42432126 has 32 divisors (see below), whose sum is σ = 93858048. Its totient is φ = 12680640.

The previous prime is 42432109. The next prime is 42432127. The reversal of 42432126 is 62123424.

It is a junction number, because it is equal to n+sod(n) for n = 42432096 and 42432105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42432127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415 + ... + 9221.

It is an arithmetic number, because the mean of its divisors is an integer number (2933064).

Almost surely, 242432126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42432126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46929024).

42432126 is an abundant number, since it is smaller than the sum of its proper divisors (51425922).

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

42432126 is a wasteful number, since it uses less digits than its factorization.

42432126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8896.

The product of its digits is 2304, while the sum is 24.

The square root of 42432126 is about 6513.9946269551. The cubic root of 42432126 is about 348.7907273771.

The spelling of 42432126 in words is "forty-two million, four hundred thirty-two thousand, one hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 73 146 219 438 803 1606 2409 4818 8807 17614 26421 52842 96877 193754 290631 581262 642911 1285822 1928733 3857466 7072021 14144042 21216063 42432126