Search a number
-
+
5488728 = 233737883
BaseRepresentation
bin10100111100000001011000
3101022212010020
4110330001120
52401114403
6313350440
764440060
oct24740130
911285106
105488728
113109843
121a08420
1311a238b
14a2c3a0
15736453
hex53c058

5488728 has 64 divisors (see below), whose sum is σ = 16124160. Its totient is φ = 1524096.

The previous prime is 5488709. The next prime is 5488729. The reversal of 5488728 is 8278845.

It is a super-2 number, since 2×54887282 = 60252270115968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 5488728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5488729) 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, 5775 + ... + 6657.

It is an arithmetic number, because the mean of its divisors is an integer number (251940).

Almost surely, 25488728 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 5488728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8062080).

5488728 is an abundant number, since it is smaller than the sum of its proper divisors (10635432).

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

5488728 is a wasteful number, since it uses less digits than its factorization.

5488728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 932 counting only the distinct ones).

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

The square root of 5488728 is about 2342.8034488621. The cubic root of 5488728 is about 176.3967461517.

It can be divided in two parts, 5488 and 728, that added together give a triangular number (6216 = T111).

The spelling of 5488728 in words is "five million, four hundred eighty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 74 84 111 148 168 222 259 296 444 518 777 883 888 1036 1554 1766 2072 2649 3108 3532 5298 6181 6216 7064 10596 12362 18543 21192 24724 32671 37086 49448 65342 74172 98013 130684 148344 196026 228697 261368 392052 457394 686091 784104 914788 1372182 1829576 2744364 5488728