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52408122 = 231323131223
BaseRepresentation
bin1100011111101…
…0111100111010
310122121121102120
43013322330322
5101404024442
65111142110
71204314234
oct307727472
9118547376
1052408122
1127645aa8
1215674936
13ab1c530
146d63254
1549034ec
hex31faf3a

52408122 has 64 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 15238080.

The previous prime is 52408091. The next prime is 52408129. The reversal of 52408122 is 22180425.

It is a super-2 number, since 2×524081222 = 5493222503133768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52408092 and 52408101.

It is not an unprimeable number, because it can be changed into a prime (52408129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234903 + ... + 235125.

It is an arithmetic number, because the mean of its divisors is an integer number (1862784).

Almost surely, 252408122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52408122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

52408122 is an abundant number, since it is smaller than the sum of its proper divisors (66810054).

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

52408122 is a wasteful number, since it uses less digits than its factorization.

52408122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395.

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 52408122 is about 7239.3454123974. The cubic root of 52408122 is about 374.2250592368.

Adding to 52408122 its reverse (22180425), we get a palindrome (74588547).

The spelling of 52408122 in words is "fifty-two million, four hundred eight thousand, one hundred twenty-two".

Divisors: 1 2 3 6 13 23 26 39 46 69 78 131 138 223 262 299 393 446 598 669 786 897 1338 1703 1794 2899 3013 3406 5109 5129 5798 6026 8697 9039 10218 10258 15387 17394 18078 29213 30774 39169 58426 66677 78338 87639 117507 133354 175278 200031 235014 379769 400062 671899 759538 1139307 1343798 2015697 2278614 4031394 8734687 17469374 26204061 52408122