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528150 = 23527503
BaseRepresentation
bin10000000111100010110
3222211111010
42000330112
5113400100
615153050
74326540
oct2007426
9884433
10528150
11330897
12215786
1315651c
14da690
15a6750
hex80f16

528150 has 48 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 120480.

The previous prime is 528137. The next prime is 528163. The reversal of 528150 is 51825.

It is an interprime number because it is at equal distance from previous prime (528137) and next prime (528163).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 528150.

It is an unprimeable number.

528150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 799 + ... + 1301.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2528150 is an apocalyptic number.

528150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 528150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

528150 is an abundant number, since it is smaller than the sum of its proper divisors (971754).

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

528150 is a wasteful number, since it uses less digits than its factorization.

528150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 528150 is about 726.7392930068. The cubic root of 528150 is about 80.8324535514.

Adding to 528150 its reverse (51825), we get a palindrome (579975).

The spelling of 528150 in words is "five hundred twenty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 503 525 1006 1050 1509 2515 3018 3521 5030 7042 7545 10563 12575 15090 17605 21126 25150 35210 37725 52815 75450 88025 105630 176050 264075 528150