Search a number
-
+
5184592 = 247217389
BaseRepresentation
bin10011110001110001010000
3100202101220221
4103301301100
52311401332
6303042424
762032300
oct23616120
910671827
105184592
112a21296
1218a0414
1310c6b0a
1498d600
156c6297
hex4f1c50

5184592 has 60 divisors (see below), whose sum is σ = 12404340. Its totient is φ = 2085888.

The previous prime is 5184581. The next prime is 5184593. The reversal of 5184592 is 2954815.

It can be written as a sum of positive squares in 2 ways, for example, as 2637376 + 2547216 = 1624^2 + 1596^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5184593) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13134 + ... + 13522.

It is an arithmetic number, because the mean of its divisors is an integer number (206739).

Almost surely, 25184592 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 5184592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6202170).

5184592 is an abundant number, since it is smaller than the sum of its proper divisors (7219748).

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

5184592 is a wasteful number, since it uses less digits than its factorization.

5184592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its digits is 14400, while the sum is 34.

The square root of 5184592 is about 2276.9699163581. The cubic root of 5184592 is about 173.0765362397.

It can be divided in two parts, 5184 and 592, that added together give a square (5776 = 762).

The spelling of 5184592 in words is "five million, one hundred eighty-four thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 389 392 476 778 784 833 952 1556 1666 1904 2723 3112 3332 5446 6224 6613 6664 10892 13226 13328 19061 21784 26452 38122 43568 46291 52904 76244 92582 105808 152488 185164 304976 324037 370328 648074 740656 1296148 2592296 5184592