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528276 = 223719331
BaseRepresentation
bin10000000111110010100
3222211122210
42000332110
5113401101
615153420
74330110
oct2007624
9884583
10528276
113309a1
12215870
131565b8
14da740
15a67d6
hex80f94

528276 has 48 divisors (see below), whose sum is σ = 1487360. Its totient is φ = 142560.

The previous prime is 528263. The next prime is 528289. The reversal of 528276 is 672825.

528276 = T153 + T154 + ... + T188.

It is an interprime number because it is at equal distance from previous prime (528263) and next prime (528289).

It is a d-powerful number, because it can be written as 55 + 27 + 219 + 83 + 7 + 63 .

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

528276 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 15 ways as a sum of consecutive naturals, for example, 1431 + ... + 1761.

2528276 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 528276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743680).

528276 is an abundant number, since it is smaller than the sum of its proper divisors (959084).

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

528276 is a wasteful number, since it uses less digits than its factorization.

528276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 528276 is about 726.8259764208. The cubic root of 528276 is about 80.8388810684.

The spelling of 528276 in words is "five hundred twenty-eight thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 331 399 532 662 798 993 1324 1596 1986 2317 3972 4634 6289 6951 9268 12578 13902 18867 25156 27804 37734 44023 75468 88046 132069 176092 264138 528276