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528412248 = 233571329103
BaseRepresentation
bin11111011111101…
…110111001011000
31100211022010100000
4133133232321120
52040233142443
6124233413000
716044300330
oct3737567130
91324263300
10528412248
11251302a41
12128b6a160
1385622490
14502700c0
15315cb8d3
hex1f7eee58

528412248 has 384 divisors, whose sum is σ = 1907942400. Its totient is φ = 133249536.

The previous prime is 528412243. The next prime is 528412289. The reversal of 528412248 is 842214825.

528412248 is a `hidden beast` number, since 528 + 4 + 122 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528412243) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5130165 + ... + 5130267.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2528412248 is an apocalyptic number.

528412248 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 528412248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953971200).

528412248 is an abundant number, since it is smaller than the sum of its proper divisors (1379530152).

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

528412248 is a wasteful number, since it uses less digits than its factorization.

528412248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 157 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 528412248 is about 22987.2192315643. The cubic root of 528412248 is about 808.4583020685.

The spelling of 528412248 in words is "five hundred twenty-eight million, four hundred twelve thousand, two hundred forty-eight".