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6297872 = 247229277
BaseRepresentation
bin11000000001100100010000
3102211222001112
4120001210100
53103012442
6342552452
7104350100
oct30014420
912758045
106297872
113611759
122138728
1313c6769
14b9d200
15846082
hex601910

6297872 has 60 divisors (see below), whose sum is σ = 14736780. Its totient is φ = 2596608.

The previous prime is 6297869. The next prime is 6297899. The reversal of 6297872 is 2787926.

6297872 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 2119936 + 4177936 = 1456^2 + 2044^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22598 + ... + 22874.

It is an arithmetic number, because the mean of its divisors is an integer number (245613).

Almost surely, 26297872 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 6297872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7368390).

6297872 is an abundant number, since it is smaller than the sum of its proper divisors (8438908).

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

6297872 is a wasteful number, since it uses less digits than its factorization.

6297872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its digits is 84672, while the sum is 41.

The square root of 6297872 is about 2509.5561360527. The cubic root of 6297872 is about 184.6706778110.

The spelling of 6297872 in words is "six million, two hundred ninety-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 277 392 406 464 554 784 812 1108 1421 1624 1939 2216 2842 3248 3878 4432 5684 7756 8033 11368 13573 15512 16066 22736 27146 31024 32132 54292 56231 64264 108584 112462 128528 217168 224924 393617 449848 787234 899696 1574468 3148936 6297872