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42426336 = 253479403
BaseRepresentation
bin1010000111010…
…1111111100000
32221211110222210
42201311333200
541330120321
64113202120
71023421641
oct241657740
987743883
1042426336
1121a48597
1212260340
138a36054
1458c56c8
153ad0b76
hex2875fe0

42426336 has 48 divisors (see below), whose sum is σ = 113750784. Its totient is φ = 13839744.

The previous prime is 42426323. The next prime is 42426353. The reversal of 42426336 is 63362424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190 + ... + 9213.

It is an arithmetic number, because the mean of its divisors is an integer number (2369808).

Almost surely, 242426336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42426336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56875392).

42426336 is an abundant number, since it is smaller than the sum of its proper divisors (71324448).

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

42426336 is a wasteful number, since it uses less digits than its factorization.

42426336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9463 (or 9455 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

The square root of 42426336 is about 6513.5501840394. The cubic root of 42426336 is about 348.7748621168.

The spelling of 42426336 in words is "forty-two million, four hundred twenty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 9403 18806 28209 37612 56418 75224 112836 150448 225672 300896 441941 451344 883882 902688 1325823 1767764 2651646 3535528 5303292 7071056 10606584 14142112 21213168 42426336