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42267568 = 2471073527
BaseRepresentation
bin1010000100111…
…1001110110000
32221112102012111
42201033032300
541310030233
64105535104
71022161030
oct241171660
987472174
1042267568
112194a282
12121a4494
1389ab9c5
1458838c0
153a9dacd
hex284f3b0

42267568 has 40 divisors (see below), whose sum is σ = 94493952. Its totient is φ = 17940288.

The previous prime is 42267557. The next prime is 42267569. The reversal of 42267568 is 86576224.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 42267568.

It is not an unprimeable number, because it can be changed into a prime (42267569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10221 + ... + 13747.

Almost surely, 242267568 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 42267568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47246976).

42267568 is an abundant number, since it is smaller than the sum of its proper divisors (52226384).

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

42267568 is a wasteful number, since it uses less digits than its factorization.

42267568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3649 (or 3643 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 42267568 is about 6501.3512441646. The cubic root of 42267568 is about 348.3392560722.

The spelling of 42267568 in words is "forty-two million, two hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2996 3527 5992 7054 11984 14108 24689 28216 49378 56432 98756 197512 377389 395024 754778 1509556 2641723 3019112 5283446 6038224 10566892 21133784 42267568