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5642838 = 233831259
BaseRepresentation
bin10101100001101001010110
3101121200112000
4111201221112
52421032323
6320540130
765651265
oct25415126
911550460
105642838
113204603
121a81646
131227576
14a6c5dc
15766e43
hex561a56

5642838 has 32 divisors (see below), whose sum is σ = 12700800. Its totient is φ = 1856808.

The previous prime is 5642803. The next prime is 5642839. The reversal of 5642838 is 8382465.

5642838 is a `hidden beast` number, since 5 + 642 + 8 + 3 + 8 = 666.

It is a d-powerful number, because it can be written as 53 + 65 + 49 + 219 + 85 + 314 + 85 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3853 + ... + 5111.

It is an arithmetic number, because the mean of its divisors is an integer number (396900).

Almost surely, 25642838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5642838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6350400).

5642838 is an abundant number, since it is smaller than the sum of its proper divisors (7057962).

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

5642838 is a wasteful number, since it uses less digits than its factorization.

5642838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1347 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 5642838 is about 2375.4658490494. The cubic root of 5642838 is about 178.0324605195.

The spelling of 5642838 in words is "five million, six hundred forty-two thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 498 747 1259 1494 2241 2518 3777 4482 7554 11331 22662 33993 67986 104497 208994 313491 626982 940473 1880946 2821419 5642838