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42800056 = 23132329617
BaseRepresentation
bin1010001101000…
…1001110111000
32222112110122021
42203101032320
541424100211
64125204224
71026536335
oct243211670
988473567
1042800056
1122183352
1212400674
138b371a0
14598198c
153b56771
hex28d13b8

42800056 has 64 divisors (see below), whose sum is σ = 93441600. Its totient is φ = 18213888.

The previous prime is 42800053. The next prime is 42800059. The reversal of 42800056 is 65000824.

It is an interprime number because it is at equal distance from previous prime (42800053) and next prime (42800059).

It is a self number, because there is not a number n which added to its sum of digits gives 42800056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42800053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69060 + ... + 69676.

It is an arithmetic number, because the mean of its divisors is an integer number (1460025).

Almost surely, 242800056 is an apocalyptic number.

42800056 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42800056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46720800).

42800056 is an abundant number, since it is smaller than the sum of its proper divisors (50641544).

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

42800056 is a wasteful number, since it uses less digits than its factorization.

42800056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 42800056 is about 6542.1751734419. The cubic root of 42800056 is about 349.7959518124.

The spelling of 42800056 in words is "forty-two million, eight hundred thousand, fifty-six".

Divisors: 1 2 4 8 13 23 26 29 46 52 58 92 104 116 184 232 299 377 598 617 667 754 1196 1234 1334 1508 2392 2468 2668 3016 4936 5336 8021 8671 14191 16042 17342 17893 28382 32084 34684 35786 56764 64168 69368 71572 113528 143144 184483 232609 368966 411539 465218 737932 823078 930436 1475864 1646156 1860872 3292312 5350007 10700014 21400028 42800056