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42791296 = 271811847
BaseRepresentation
bin1010001100111…
…1000110000000
32222112000121211
42203033012000
541423310141
64125055504
71026501652
oct243170600
988460554
1042791296
1122177809
12123b7594
138b331c2
14597c6d2
153b53d81
hex28cf180

42791296 has 32 divisors (see below), whose sum is σ = 85765680. Its totient is φ = 21265920.

The previous prime is 42791267. The next prime is 42791297. The reversal of 42791296 is 69219724.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42791297) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22245 + ... + 24091.

Almost surely, 242791296 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 42791296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42882840).

42791296 is an abundant number, since it is smaller than the sum of its proper divisors (42974384).

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

42791296 is a wasteful number, since it uses less digits than its factorization.

42791296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2030 counting only the distinct ones).

The product of its digits is 54432, while the sum is 40.

The square root of 42791296 is about 6541.5056370839. The cubic root of 42791296 is about 349.7720856317.

The spelling of 42791296 in words is "forty-two million, seven hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 1847 2896 3694 5792 7388 11584 14776 23168 29552 59104 118208 236416 334307 668614 1337228 2674456 5348912 10697824 21395648 42791296