Search a number
-
+
52781760 = 2633541149
BaseRepresentation
bin1100100101011…
…0001011000000
310200022120222000
43021112023000
5102003004020
65123144000
71210431453
oct311261300
9120276860
1052781760
1127880799
1215815000
13ac20615
14701d49a
154979090
hex32562c0

52781760 has 224 divisors, whose sum is σ = 192024000. Its totient is φ = 13639680.

The previous prime is 52781759. The next prime is 52781767. The reversal of 52781760 is 6718725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (52781767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 354166 + ... + 354314.

It is an arithmetic number, because the mean of its divisors is an integer number (857250).

Almost surely, 252781760 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 52781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96012000).

52781760 is an abundant number, since it is smaller than the sum of its proper divisors (139242240).

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

52781760 is a wasteful number, since it uses less digits than its factorization.

52781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 52781760 is about 7265.1056427281. The cubic root of 52781760 is about 375.1122863747.

The spelling of 52781760 in words is "fifty-two million, seven hundred eighty-one thousand, seven hundred sixty".