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42913312 = 2513432399
BaseRepresentation
bin1010001110110…
…0111000100000
32222202012222221
42203230320200
541441211222
64131440424
71030520461
oct243547040
988665887
1042913312
1122250452
1212456114
138b768c0
1459b0d68
153b7a0c7
hex28ece20

42913312 has 48 divisors (see below), whose sum is σ = 93139200. Its totient is φ = 19337472.

The previous prime is 42913309. The next prime is 42913319. The reversal of 42913312 is 21331924.

It is not an unprimeable number, because it can be changed into a prime (42913319) 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, 16689 + ... + 19087.

It is an arithmetic number, because the mean of its divisors is an integer number (1940400).

Almost surely, 242913312 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 42913312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46569600).

42913312 is an abundant number, since it is smaller than the sum of its proper divisors (50225888).

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

42913312 is a wasteful number, since it uses less digits than its factorization.

42913312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2465 (or 2457 counting only the distinct ones).

The product of its digits is 1296, while the sum is 25.

The square root of 42913312 is about 6550.8252915186. The cubic root of 42913312 is about 350.1042193037.

The spelling of 42913312 in words is "forty-two million, nine hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 43 52 86 104 172 208 344 416 559 688 1118 1376 2236 2399 4472 4798 8944 9596 17888 19192 31187 38384 62374 76768 103157 124748 206314 249496 412628 498992 825256 997984 1341041 1650512 2682082 3301024 5364164 10728328 21456656 42913312