[go: up one dir, main page]

Search a number
-
+
5225742 = 233294771
BaseRepresentation
bin10011111011110100001110
3100211111101000
4103323310032
52314210432
6304001130
762263254
oct23736416
910744330
105225742
112a4a1a5
1219001a6
13110c772
149a05d4
156d357c
hex4fbd0e

5225742 has 64 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 1622880.

The previous prime is 5225729. The next prime is 5225743. The reversal of 5225742 is 2475225.

It is a Harshad number since it is a multiple of its sum of digits (27).

5225742 is a modest number, since divided by 5742 gives 522 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5225743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73567 + ... + 73637.

It is an arithmetic number, because the mean of its divisors is an integer number (194400).

Almost surely, 25225742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5225742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

5225742 is an abundant number, since it is smaller than the sum of its proper divisors (7215858).

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

5225742 is a wasteful number, since it uses less digits than its factorization.

5225742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 5600, while the sum is 27.

The square root of 5225742 is about 2285.9881889459. The cubic root of 5225742 is about 173.5332317368.

The spelling of 5225742 in words is "five million, two hundred twenty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 47 54 58 71 87 94 141 142 174 213 261 282 423 426 522 639 783 846 1269 1278 1363 1566 1917 2059 2538 2726 3337 3834 4089 4118 6177 6674 8178 10011 12267 12354 18531 20022 24534 30033 36801 37062 55593 60066 73602 90099 96773 111186 180198 193546 290319 580638 870957 1741914 2612871 5225742