Search a number
-
+
5344192 = 26779151
BaseRepresentation
bin10100011000101111000000
3101001111212001
4110120233000
52332003232
6310313344
763265510
oct24305700
911044761
105344192
113020197
121958854
131151659
149d1840
157086e7
hex518bc0

5344192 has 56 divisors (see below), whose sum is σ = 12354560. Its totient is φ = 2246400.

The previous prime is 5344189. The next prime is 5344201. The reversal of 5344192 is 2914435.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5344192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35317 + ... + 35467.

Almost surely, 25344192 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 5344192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6177280).

5344192 is an abundant number, since it is smaller than the sum of its proper divisors (7010368).

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

5344192 is a wasteful number, since it uses less digits than its factorization.

5344192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its digits is 4320, while the sum is 28.

The square root of 5344192 is about 2311.7508516274. The cubic root of 5344192 is about 174.8345865544.

The spelling of 5344192 in words is "five million, three hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 151 158 224 302 316 448 553 604 632 1057 1106 1208 1264 2114 2212 2416 2528 4228 4424 4832 5056 8456 8848 9664 11929 16912 17696 23858 33824 35392 47716 67648 83503 95432 167006 190864 334012 381728 668024 763456 1336048 2672096 5344192