Search a number
-
+
52823760 = 243511217107
BaseRepresentation
bin1100100110000…
…0011011010000
310200101201120120
43021200123100
5102010330020
65124110240
71210665063
oct311403320
9120351516
1052823760
11278aa300
1215835380
13ac36782
1470308da
154986740
hex32606d0

52823760 has 240 divisors, whose sum is σ = 192362688. Its totient is φ = 11939840.

The previous prime is 52823741. The next prime is 52823767. The reversal of 52823760 is 6732825.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52823767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 493627 + ... + 493733.

Almost surely, 252823760 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 52823760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96181344).

52823760 is an abundant number, since it is smaller than the sum of its proper divisors (139538928).

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

52823760 is a wasteful number, since it uses less digits than its factorization.

52823760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 52823760 is about 7267.9955971368. The cubic root of 52823760 is about 375.2117559582.

The spelling of 52823760 in words is "fifty-two million, eight hundred twenty-three thousand, seven hundred sixty".