Search a number
-
+
45323124 = 223711181271
BaseRepresentation
bin1010110011100…
…1001101110100
310011021122122020
42230321031310
543100314444
64255233140
71060145250
oct254711564
9104248566
1045323124
1123646a30
12132187b0
13950b722
14603b260
153ea4119
hex2b39374

45323124 has 96 divisors (see below), whose sum is σ = 133066752. Its totient is φ = 11664000.

The previous prime is 45323111. The next prime is 45323129. The reversal of 45323124 is 42132354.

It is a junction number, because it is equal to n+sod(n) for n = 45323094 and 45323103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45323129) 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, 167109 + ... + 167379.

It is an arithmetic number, because the mean of its divisors is an integer number (1386112).

Almost surely, 245323124 is an apocalyptic number.

45323124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45323124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66533376).

45323124 is an abundant number, since it is smaller than the sum of its proper divisors (87743628).

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

45323124 is a wasteful number, since it uses less digits than its factorization.

45323124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 475 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 45323124 is about 6732.2450935776. The cubic root of 45323124 is about 356.5386471966.

Adding to 45323124 its reverse (42132354), we get a palindrome (87455478).

The spelling of 45323124 in words is "forty-five million, three hundred twenty-three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 181 231 271 308 362 462 542 543 724 813 924 1084 1086 1267 1626 1897 1991 2172 2534 2981 3252 3794 3801 3982 5068 5691 5962 5973 7588 7602 7964 8943 11382 11924 11946 13937 15204 17886 20867 22764 23892 27874 35772 41734 41811 49051 55748 62601 83468 83622 98102 125202 147153 167244 196204 250404 294306 343357 539561 588612 686714 1030071 1079122 1373428 1618683 2060142 2158244 3237366 3776927 4120284 6474732 7553854 11330781 15107708 22661562 45323124