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5798016 = 27327719
BaseRepresentation
bin10110000111100010000000
3101220120101100
4112013202000
52441014031
6324134400
7100165560
oct26074200
911816340
105798016
113300154
121b37400
1312800a3
14aacda0
15797de6
hex587880

5798016 has 96 divisors (see below), whose sum is σ = 19094400. Its totient is φ = 1654272.

The previous prime is 5797993. The next prime is 5798017. The reversal of 5798016 is 6108975.

5798016 is a `hidden beast` number, since 579 + 80 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5798017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7705 + ... + 8423.

It is an arithmetic number, because the mean of its divisors is an integer number (198900).

Almost surely, 25798016 is an apocalyptic number.

5798016 is a gapful number since it is divisible by the number (56) 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 5798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9547200).

5798016 is an abundant number, since it is smaller than the sum of its proper divisors (13296384).

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

5798016 is a wasteful number, since it uses less digits than its factorization.

5798016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 5798016 is about 2407.9069749473. The cubic root of 5798016 is about 179.6496890473.

The spelling of 5798016 in words is "five million, seven hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 288 336 384 448 504 576 672 719 896 1008 1152 1344 1438 2016 2157 2688 2876 4032 4314 5033 5752 6471 8064 8628 10066 11504 12942 15099 17256 20132 23008 25884 30198 34512 40264 45297 46016 51768 60396 69024 80528 90594 92032 103536 120792 138048 161056 181188 207072 241584 276096 322112 362376 414144 483168 644224 724752 828288 966336 1449504 1932672 2899008 5798016