Search a number
-
+
52263712 = 2517191503
BaseRepresentation
bin1100011101011…
…1101100100000
310122100021100001
43013113230200
5101334414322
65104105344
71203143224
oct307275440
9118307301
1052263712
1127557556
1215605254
13aa9b897
146d26784
1548c5827
hex31d7b20

52263712 has 48 divisors (see below), whose sum is σ = 109734912. Its totient is φ = 24417280.

The previous prime is 52263707. The next prime is 52263727. The reversal of 52263712 is 21736225.

52263712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 103653 + ... + 104155.

It is an arithmetic number, because the mean of its divisors is an integer number (2286144).

Almost surely, 252263712 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 52263712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

52263712 is an abundant number, since it is smaller than the sum of its proper divisors (57471200).

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

52263712 is a wasteful number, since it uses less digits than its factorization.

52263712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 713 counting only the distinct ones).

The product of its digits is 5040, while the sum is 28.

The square root of 52263712 is about 7229.3645640540. The cubic root of 52263712 is about 373.8810187071.

Adding to 52263712 its reverse (21736225), we get a palindrome (73999937).

It can be divided in two parts, 52263 and 712, that added together give a triangular number (52975 = T325).

The spelling of 52263712 in words is "fifty-two million, two hundred sixty-three thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 68 136 191 272 382 503 544 764 1006 1528 2012 3056 3247 4024 6112 6494 8048 8551 12988 16096 17102 25976 34204 51952 68408 96073 103904 136816 192146 273632 384292 768584 1537168 1633241 3074336 3266482 6532964 13065928 26131856 52263712