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5282640 = 24325112329
BaseRepresentation
bin10100001001101101010000
3100221101102100
4110021231100
52323021030
6305120400
762621166
oct24115520
910841370
105282640
112a88a20
121929100
13112c62c
149b7236
156e5360
hex509b50

5282640 has 240 divisors, whose sum is σ = 20891520. Its totient is φ = 1182720.

The previous prime is 5282633. The next prime is 5282653. The reversal of 5282640 is 462825.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182146 + ... + 182174.

It is an arithmetic number, because the mean of its divisors is an integer number (87048).

Almost surely, 25282640 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 5282640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10445760).

5282640 is an abundant number, since it is smaller than the sum of its proper divisors (15608880).

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

5282640 is a wasteful number, since it uses less digits than its factorization.

5282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5282640 is about 2298.3994430908. The cubic root of 5282640 is about 174.1607709468.

The spelling of 5282640 in words is "five million, two hundred eighty-two thousand, six hundred forty".