Search a number
-
+
5348728 = 2371119457
BaseRepresentation
bin10100011001110101111000
3101001202002001
4110121311320
52332124403
6310350344
763314650
oct24316570
911052061
105348728
113023640
12195b3b4
131153738
149d3360
15709c1d
hex519d78

5348728 has 64 divisors (see below), whose sum is σ = 13190400. Its totient is φ = 1969920.

The previous prime is 5348713. The next prime is 5348743. The reversal of 5348728 is 8278435.

5348728 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5348713) and next prime (5348743).

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

5348728 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11476 + ... + 11932.

It is an arithmetic number, because the mean of its divisors is an integer number (206100).

Almost surely, 25348728 is an apocalyptic number.

5348728 is the 1463-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5348728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6595200).

5348728 is an abundant number, since it is smaller than the sum of its proper divisors (7841672).

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

5348728 is a wasteful number, since it uses less digits than its factorization.

5348728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 496 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 5348728 is about 2312.7317181204. The cubic root of 5348728 is about 174.8840374609.

The spelling of 5348728 in words is "five million, three hundred forty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 19 22 28 38 44 56 76 77 88 133 152 154 209 266 308 418 457 532 616 836 914 1064 1463 1672 1828 2926 3199 3656 5027 5852 6398 8683 10054 11704 12796 17366 20108 25592 34732 35189 40216 60781 69464 70378 95513 121562 140756 191026 243124 281512 382052 486248 668591 764104 1337182 2674364 5348728