Search a number
-
+
53282880 = 263357881
BaseRepresentation
bin1100101101000…
…0100001000000
310201021001101000
43023100201000
5102120023010
65142012000
71214616450
oct313204100
9121231330
1053282880
1128093242
1215a17000
13b067741
14710dd60
154a277c0
hex32d0840

53282880 has 224 divisors, whose sum is σ = 215066880. Its totient is φ = 12165120.

The previous prime is 53282863. The next prime is 53282941. The reversal of 53282880 is 8828235.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60040 + ... + 60920.

It is an arithmetic number, because the mean of its divisors is an integer number (960120).

Almost surely, 253282880 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 53282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107533440).

53282880 is an abundant number, since it is smaller than the sum of its proper divisors (161784000).

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

53282880 is a wasteful number, since it uses less digits than its factorization.

53282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 53282880 is about 7299.5123124768. The cubic root of 53282880 is about 376.2956780928.

The spelling of 53282880 in words is "fifty-three million, two hundred eighty-two thousand, eight hundred eighty".