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528450048 = 2933743127
BaseRepresentation
bin11111011111111…
…000001000000000
31100211101001012000
4133133320020000
52040240400143
6124234304000
716044515460
oct3737701000
91324331160
10528450048
11251329385
12128b88000
1385636749
145027dba0
15315d7bd3
hex1f7f8200

528450048 has 320 divisors, whose sum is σ = 1843691520. Its totient is φ = 146313216.

The previous prime is 528450029. The next prime is 528450067. The reversal of 528450048 is 840054825.

It is an interprime number because it is at equal distance from previous prime (528450029) and next prime (528450067).

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

It is a junction number, because it is equal to n+sod(n) for n = 528449994 and 528450021.

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, 4160961 + ... + 4161087.

It is an arithmetic number, because the mean of its divisors is an integer number (5761536).

Almost surely, 2528450048 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 528450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921845760).

528450048 is an abundant number, since it is smaller than the sum of its proper divisors (1315241472).

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

528450048 is a wasteful number, since it uses less digits than its factorization.

528450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 528450048 is about 22988.0414128738. The cubic root of 528450048 is about 808.4775793122.

The spelling of 528450048 in words is "five hundred twenty-eight million, four hundred fifty thousand, forty-eight".