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5083136 = 2121773
BaseRepresentation
bin10011011001000000000000
3100120020202022
4103121000000
52300130021
6300541012
761130432
oct23310000
910506668
105083136
112962043
121851768
13108c896
14964652
156a61ab
hex4d9000

5083136 has 52 divisors (see below), whose sum is σ = 10910412. Its totient is φ = 2359296.

The previous prime is 5083123. The next prime is 5083151. The reversal of 5083136 is 6313805.

It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 1638400 = 1856^2 + 1280^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69596 + ... + 69668.

Almost surely, 25083136 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 5083136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5455206).

5083136 is an abundant number, since it is smaller than the sum of its proper divisors (5827276).

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

5083136 is an equidigital number, since it uses as much as digits as its factorization.

5083136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 5083136 is about 2254.5811140875. The cubic root of 5083136 is about 171.9401269883.

The spelling of 5083136 in words is "five million, eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 73 128 136 146 256 272 292 512 544 584 1024 1088 1168 1241 2048 2176 2336 2482 4096 4352 4672 4964 8704 9344 9928 17408 18688 19856 34816 37376 39712 69632 74752 79424 149504 158848 299008 317696 635392 1270784 2541568 5083136