Search a number
-
+
52985856 = 21537211
BaseRepresentation
bin1100101000100…
…0000000000000
310200200221221010
43022020000000
5102031021411
65131400520
71212241500
oct312100000
9120627833
1052985856
1127a00070
12158b3140
13ac924a1
147073a00
1549b97a6
hex3288000

52985856 has 192 divisors, whose sum is σ = 179303760. Its totient is φ = 13762560.

The previous prime is 52985843. The next prime is 52985857. The reversal of 52985856 is 65858925.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (52985857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4816891 + ... + 4816901.

Almost surely, 252985856 is an apocalyptic number.

52985856 is a gapful number since it is divisible by the number (56) 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 52985856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651880).

52985856 is an abundant number, since it is smaller than the sum of its proper divisors (126317904).

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

52985856 is an equidigital number, since it uses as much as digits as its factorization.

52985856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 23 counting only the distinct ones).

The product of its digits is 864000, while the sum is 48.

The square root of 52985856 is about 7279.1384105538. The cubic root of 52985856 is about 375.5951580431.

The spelling of 52985856 in words is "fifty-two million, nine hundred eighty-five thousand, eight hundred fifty-six".