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42425824 = 257189401
BaseRepresentation
bin1010000111010…
…1110111100000
32221211110021211
42201311313200
541330111244
64113155504
71023420310
oct241656740
987743254
1042425824
1121a48171
121225bb94
138a35a4c
1458c5440
153ad0934
hex2875de0

42425824 has 24 divisors (see below), whose sum is σ = 95458608. Its totient is φ = 18182400.

The previous prime is 42425809. The next prime is 42425827. The reversal of 42425824 is 42852424.

42425824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42425827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94477 + ... + 94924.

It is an arithmetic number, because the mean of its divisors is an integer number (3977442).

Almost surely, 242425824 is an apocalyptic number.

It is an amenable number.

42425824 is an abundant number, since it is smaller than the sum of its proper divisors (53032784).

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

42425824 is a wasteful number, since it uses less digits than its factorization.

42425824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189418 (or 189410 counting only the distinct ones).

The product of its digits is 20480, while the sum is 31.

The square root of 42425824 is about 6513.5108812376. The cubic root of 42425824 is about 348.7734591089.

The spelling of 42425824 in words is "forty-two million, four hundred twenty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 189401 378802 757604 1325807 1515208 2651614 3030416 5303228 6060832 10606456 21212912 42425824