Search a number
-
+
52083968 = 28316563
BaseRepresentation
bin1100011010101…
…1110100000000
310122000010202212
43012223310000
5101313141333
65100201252
71201464206
oct306536400
9118003685
1052083968
1127444502
1215539228
13aa37b21
146cbb076
15488c448
hex31abd00

52083968 has 36 divisors (see below), whose sum is σ = 107334528. Its totient is φ = 25198080.

The previous prime is 52083947. The next prime is 52083979. The reversal of 52083968 is 86938025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4655 + ... + 11217.

Almost surely, 252083968 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 52083968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53667264).

52083968 is an abundant number, since it is smaller than the sum of its proper divisors (55250560).

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

52083968 is an equidigital number, since it uses as much as digits as its factorization.

52083968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6610 (or 6596 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 52083968 is about 7216.9223357329. The cubic root of 52083968 is about 373.4519124460.

The spelling of 52083968 in words is "fifty-two million, eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 992 1984 3968 6563 7936 13126 26252 52504 105008 203453 210016 406906 420032 813812 840064 1627624 1680128 3255248 6510496 13020992 26041984 52083968