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6426112 = 29711163
BaseRepresentation
bin11000100000111000000000
3110002110222011
4120200320000
53121113422
6345422304
7105423010
oct30407000
913073864
106426112
11369a040
12219a994
13143cc44
14bd3c40
1586e077
hex620e00

6426112 has 80 divisors (see below), whose sum is σ = 16106112. Its totient is φ = 2488320.

The previous prime is 6426071. The next prime is 6426113. The reversal of 6426112 is 2116246.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6426113) 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, 39343 + ... + 39505.

Almost surely, 26426112 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 6426112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8053056).

6426112 is an abundant number, since it is smaller than the sum of its proper divisors (9680000).

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

6426112 is a wasteful number, since it uses less digits than its factorization.

6426112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its digits is 576, while the sum is 22.

The square root of 6426112 is about 2534.9777119336. The cubic root of 6426112 is about 185.9157131500.

The spelling of 6426112 in words is "six million, four hundred twenty-six thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 163 176 224 256 308 326 352 448 512 616 652 704 896 1141 1232 1304 1408 1792 1793 2282 2464 2608 2816 3584 3586 4564 4928 5216 5632 7172 9128 9856 10432 12551 14344 18256 19712 20864 25102 28688 36512 39424 41728 50204 57376 73024 83456 100408 114752 146048 200816 229504 292096 401632 459008 584192 803264 918016 1606528 3213056 6426112