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53431224 = 23371129997
BaseRepresentation
bin1100101111010…
…0101110111000
310201112120212020
43023310232320
5102134244344
65145114440
71216105110
oct313645670
9121476766
1053431224
1128184740
1215a88a20
13b0ba112
14714c040
154a56719
hex32f4bb8

53431224 has 128 divisors (see below), whose sum is σ = 172454400. Its totient is φ = 13386240.

The previous prime is 53431193. The next prime is 53431229. The reversal of 53431224 is 42213435.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 53431194 and 53431203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53431229) 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, 53094 + ... + 54090.

It is an arithmetic number, because the mean of its divisors is an integer number (1347300).

Almost surely, 253431224 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 53431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86227200).

53431224 is an abundant number, since it is smaller than the sum of its proper divisors (119023176).

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

53431224 is a wasteful number, since it uses less digits than its factorization.

53431224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

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

The square root of 53431224 is about 7309.6664766595. Note that the first 3 decimals coincide. The cubic root of 53431224 is about 376.6445674072.

Adding to 53431224 its reverse (42213435), we get a palindrome (95644659).

The spelling of 53431224 in words is "fifty-three million, four hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 29 33 42 44 56 58 66 77 84 87 88 116 132 154 168 174 203 231 232 264 308 319 348 406 462 609 616 638 696 812 924 957 997 1218 1276 1624 1848 1914 1994 2233 2436 2552 2991 3828 3988 4466 4872 5982 6699 6979 7656 7976 8932 10967 11964 13398 13958 17864 20937 21934 23928 26796 27916 28913 32901 41874 43868 53592 55832 57826 65802 76769 83748 86739 87736 115652 131604 153538 167496 173478 202391 230307 231304 263208 307076 318043 346956 404782 460614 607173 614152 636086 693912 809564 921228 954129 1214346 1272172 1619128 1842456 1908258 2226301 2428692 2544344 3816516 4452602 4857384 6678903 7633032 8905204 13357806 17810408 26715612 53431224