Search a number
-
+
52344032 = 251329679
BaseRepresentation
bin1100011110101…
…1010011100000
310122111100111212
43013223103200
5101400002112
65105525252
71203626336
oct307532340
9118440455
1052344032
1127601934
1215643828
13aac9300
146d47b56
1548de522
hex31eb4e0

52344032 has 36 divisors (see below), whose sum is σ = 111600720. Its totient is φ = 24156288.

The previous prime is 52344007. The next prime is 52344049. The reversal of 52344032 is 23044325.

52344032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 52343989 and 52344007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 569 + ... + 10247.

It is an arithmetic number, because the mean of its divisors is an integer number (3100020).

Almost surely, 252344032 is an apocalyptic number.

52344032 is a gapful number since it is divisible by the number (52) 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 52344032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55800360).

52344032 is an abundant number, since it is smaller than the sum of its proper divisors (59256688).

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

52344032 is a wasteful number, since it uses less digits than its factorization.

52344032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9715 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 23.

The square root of 52344032 is about 7234.9175530893. The cubic root of 52344032 is about 374.0724501468.

Adding to 52344032 its reverse (23044325), we get a palindrome (75388357).

The spelling of 52344032 in words is "fifty-two million, three hundred forty-four thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 9679 19358 38716 77432 125827 154864 251654 309728 503308 1006616 1635751 2013232 3271502 4026464 6543004 13086008 26172016 52344032