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52263834 = 237432673
BaseRepresentation
bin1100011101011…
…1101110011010
310122100021111120
43013113232122
5101334420314
65104110110
71203143460
oct307275632
9118307446
1052263834
1127557657
1215605336
13aa9b95c
146d26830
1548c58a9
hex31d7b9a

52263834 has 48 divisors (see below), whose sum is σ = 122484672. Its totient is φ = 14563584.

The previous prime is 52263833. The next prime is 52263847. The reversal of 52263834 is 43836225.

It is a happy number.

It is a super-3 number, since 3×522638343 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 52263795 and 52263804.

It is not an unprimeable number, because it can be changed into a prime (52263833) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77322 + ... + 77994.

It is an arithmetic number, because the mean of its divisors is an integer number (2551764).

Almost surely, 252263834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52263834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61242336).

52263834 is an abundant number, since it is smaller than the sum of its proper divisors (70220838).

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

52263834 is a wasteful number, since it uses less digits than its factorization.

52263834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771 (or 728 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 52263834 is about 7229.3730018585. The cubic root of 52263834 is about 373.8813096257.

The spelling of 52263834 in words is "fifty-two million, two hundred sixty-three thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 673 903 1346 1806 1849 2019 3698 4038 4711 5547 9422 11094 12943 14133 25886 28266 28939 38829 57878 77658 86817 173634 202573 405146 607719 1215438 1244377 2488754 3733131 7466262 8710639 17421278 26131917 52263834