Search a number
-
+
5478828 = 22317107251
BaseRepresentation
bin10100111001100110101100
3101022100112120
4110321212230
52400310303
6313232540
764366155
oct24714654
911270476
105478828
113102363
121a02750
13119aa14
14a2892c
15733553
hex5399ac

5478828 has 48 divisors (see below), whose sum is σ = 13716864. Its totient is φ = 1696000.

The previous prime is 5478827. The next prime is 5478839. The reversal of 5478828 is 8288745.

It is a super-3 number, since 3×54788283 (a number of 21 digits) contains 333 as substring.

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 5478828.

It is not an unprimeable number, because it can be changed into a prime (5478827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21703 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (285768).

Almost surely, 25478828 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 5478828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

5478828 is an abundant number, since it is smaller than the sum of its proper divisors (8238036).

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

5478828 is a wasteful number, since it uses less digits than its factorization.

5478828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its digits is 143360, while the sum is 42.

The square root of 5478828 is about 2340.6896419645. The cubic root of 5478828 is about 176.2906269204.

The spelling of 5478828 in words is "five million, four hundred seventy-eight thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 107 204 214 251 321 428 502 642 753 1004 1284 1506 1819 3012 3638 4267 5457 7276 8534 10914 12801 17068 21828 25602 26857 51204 53714 80571 107428 161142 322284 456569 913138 1369707 1826276 2739414 5478828