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5093632 = 28101197
BaseRepresentation
bin10011011011100100000000
3100120210011001
4103123210000
52300444012
6301101344
761203145
oct23334400
910523131
105093632
112969a15
121857854
1310945ab
149683cc
156a9357
hex4db900

5093632 has 36 divisors (see below), whose sum is σ = 10320156. Its totient is φ = 2508800.

The previous prime is 5093623. The next prime is 5093657. The reversal of 5093632 is 2363905.

It can be written as a sum of positive squares in 2 ways, for example, as 4946176 + 147456 = 2224^2 + 384^2 .

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5093632.

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, 25758 + ... + 25954.

It is an arithmetic number, because the mean of its divisors is an integer number (286671).

Almost surely, 25093632 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 5093632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5160078).

5093632 is an abundant number, since it is smaller than the sum of its proper divisors (5226524).

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

5093632 is a wasteful number, since it uses less digits than its factorization.

5093632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 28.

The square root of 5093632 is about 2256.9076188449. The cubic root of 5093632 is about 172.0583901269.

The spelling of 5093632 in words is "five million, ninety-three thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 101 128 197 202 256 394 404 788 808 1576 1616 3152 3232 6304 6464 12608 12928 19897 25216 25856 39794 50432 79588 159176 318352 636704 1273408 2546816 5093632