Search a number
-
+
5193104 = 247199233
BaseRepresentation
bin10011110011110110010000
3100202211121012
4103303312100
52312134404
6303150052
762066150
oct23636620
910684535
105193104
112a27724
1218a5328
1310ca957
14992760
156c8a6e
hex4f3d90

5193104 has 40 divisors (see below), whose sum is σ = 11606400. Its totient is φ = 2204928.

The previous prime is 5193091. The next prime is 5193107. The reversal of 5193104 is 4013915.

It is a happy number.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 5193104.

It is not an unprimeable number, because it can be changed into a prime (5193107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22172 + ... + 22404.

It is an arithmetic number, because the mean of its divisors is an integer number (290160).

Almost surely, 25193104 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 5193104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5803200).

5193104 is an abundant number, since it is smaller than the sum of its proper divisors (6413296).

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

5193104 is a wasteful number, since it uses less digits than its factorization.

5193104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 5193104 is about 2278.8383005382. The cubic root of 5193104 is about 173.1712027676.

The spelling of 5193104 in words is "five million, one hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 199 233 398 466 796 932 1393 1592 1631 1864 2786 3184 3262 3728 5572 6524 11144 13048 22288 26096 46367 92734 185468 324569 370936 649138 741872 1298276 2596552 5193104