Search a number
-
+
5488392 = 2337213359
BaseRepresentation
bin10100111011111100001000
3101022211122210
4110323330020
52401112032
6313345120
764436100
oct24737410
911284583
105488392
113109568
121a081a0
1311a2190
14a2c200
157362cc
hex53bf08

5488392 has 96 divisors (see below), whose sum is σ = 17236800. Its totient is φ = 1443456.

The previous prime is 5488387. The next prime is 5488393. The reversal of 5488392 is 2938845.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (69120) is a multiple of the sum of its prime divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 5488392.

It is not an unprimeable number, because it can be changed into a prime (5488393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15109 + ... + 15467.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 25488392 is an apocalyptic number.

5488392 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5488392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8618400).

5488392 is an abundant number, since it is smaller than the sum of its proper divisors (11748408).

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

5488392 is a wasteful number, since it uses less digits than its factorization.

5488392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 5488392 is about 2342.7317388041. The cubic root of 5488392 is about 176.3931466221.

The spelling of 5488392 in words is "five million, four hundred eighty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 49 52 56 78 84 91 98 104 147 156 168 182 196 273 294 312 359 364 392 546 588 637 718 728 1077 1092 1176 1274 1436 1911 2154 2184 2513 2548 2872 3822 4308 4667 5026 5096 7539 7644 8616 9334 10052 14001 15078 15288 17591 18668 20104 28002 30156 32669 35182 37336 52773 56004 60312 65338 70364 98007 105546 112008 130676 140728 196014 211092 228683 261352 392028 422184 457366 686049 784056 914732 1372098 1829464 2744196 5488392