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525682080 = 253257112431
BaseRepresentation
bin11111010101010…
…100010110100000
31100122011102020200
4133111110112200
52034033311310
6124055105200
716012136550
oct3725242640
91318142220
10525682080
1124a808800
12128072200
1384ba78b1
144db5d160
153123c9c0
hex1f5545a0

525682080 has 432 divisors, whose sum is σ = 2258710272. Its totient is φ = 108979200.

The previous prime is 525682061. The next prime is 525682081. The reversal of 525682080 is 80286525.

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 (525682081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1219465 + ... + 1219895.

It is an arithmetic number, because the mean of its divisors is an integer number (5228496).

Almost surely, 2525682080 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 525682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129355136).

525682080 is an abundant number, since it is smaller than the sum of its proper divisors (1733028192).

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

525682080 is a wasteful number, since it uses less digits than its factorization.

525682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 525682080 is about 22927.7578493842. The cubic root of 525682080 is about 807.0635329076.

The spelling of 525682080 in words is "five hundred twenty-five million, six hundred eighty-two thousand, eighty".