Search a number
-
+
5522016 = 25397593
BaseRepresentation
bin10101000100001001100000
3101101112210010
4111010021200
52403201031
6314204520
764636113
oct25041140
911345703
105522016
113131855
121a23740
1311b4586
14a3a57a
15741246
hex544260

5522016 has 48 divisors (see below), whose sum is σ = 14669424. Its totient is φ = 1818624.

The previous prime is 5521993. The next prime is 5522029. The reversal of 5522016 is 6102255.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5521983 and 5522001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9016 + ... + 9608.

It is an arithmetic number, because the mean of its divisors is an integer number (305613).

Almost surely, 25522016 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 5522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7334712).

5522016 is an abundant number, since it is smaller than the sum of its proper divisors (9147408).

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

5522016 is a wasteful number, since it uses less digits than its factorization.

5522016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 5522016 is about 2349.8970190202. The cubic root of 5522016 is about 176.7526309221.

The spelling of 5522016 in words is "five million, five hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 593 776 1164 1186 1552 1779 2328 2372 3104 3558 4656 4744 7116 9312 9488 14232 18976 28464 56928 57521 115042 172563 230084 345126 460168 690252 920336 1380504 1840672 2761008 5522016