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524880 = 24385
BaseRepresentation
bin10000000001001010000
3222200000000
42000021100
5113244010
615130000
74314156
oct2001120
9880000
10524880
11329394
12213900
13154ba5
14d93d6
15a57c0
hex80250

524880 has 90 divisors (see below), whose sum is σ = 1830426. Its totient is φ = 139968.

The previous prime is 524873. The next prime is 524893. The reversal of 524880 is 88425.

It can be written as a sum of positive squares in only one way, i.e., 419904 + 104976 = 648^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 3 and base 9.

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 104974 + ... + 104978.

524880 is a Friedman number, since it can be written as 5*(8+8+2+0)^4, using all its digits and the basic arithmetic operations.

2524880 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 524880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915213).

524880 is an abundant number, since it is smaller than the sum of its proper divisors (1305546).

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

524880 is an frugal number, since it uses more digits than its factorization.

524880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 524880 is about 724.4860247099. The cubic root of 524880 is about 80.6652854380.

The spelling of 524880 in words is "five hundred twenty-four thousand, eight hundred eighty".