Search a number
-
+
5442524100 = 22325213465173
BaseRepresentation
bin1010001000110011…
…00101001111000100
3112001022001212111200
411010121211033010
542121241232400
62300020102500
7251604456126
oct50431451704
915038055450
105442524100
112343187a02
12107a834a30
1368973b880
14398b75216
1521cc19b00
hex1446653c4

5442524100 has 108 divisors (see below), whose sum is σ = 18371581956. Its totient is φ = 1339695360.

The previous prime is 5442524093. The next prime is 5442524119. The reversal of 5442524100 is 14252445.

It can be written as a sum of positive squares in 6 ways, for example, as 11128896 + 5431395204 = 3336^2 + 73698^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 220887 + ... + 244286.

Almost surely, 25442524100 is an apocalyptic number.

5442524100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5442524100 is an abundant number, since it is smaller than the sum of its proper divisors (12929057856).

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

5442524100 is a wasteful number, since it uses less digits than its factorization.

5442524100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465206 (or 465196 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 5442524100 is about 73773.4647417349. The cubic root of 5442524100 is about 1759.0038375339.

Adding to 5442524100 its reverse (14252445), we get a palindrome (5456776545).

The spelling of 5442524100 in words is "five billion, four hundred forty-two million, five hundred twenty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 465173 930346 1395519 1860692 2325865 2791038 4186557 4651730 5582076 6047249 6977595 8373114 9303460 11629325 12094498 13955190 16746228 18141747 20932785 23258650 24188996 27910380 30236245 34887975 36283494 41865570 46517300 54425241 60472490 69775950 72566988 83731140 90708735 104663925 108850482 120944980 139551900 151181225 181417470 209327850 217700964 272126205 302362450 362834940 418655700 453543675 544252410 604724900 907087350 1088504820 1360631025 1814174700 2721262050 5442524100