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528496 = 24172967
BaseRepresentation
bin10000001000001110000
3222211221221
42001001300
5113402441
615154424
74330543
oct2010160
9884857
10528496
11331081
12215a14
13156727
14da85a
15a68d1
hex81070

528496 has 40 divisors (see below), whose sum is σ = 1138320. Its totient is φ = 236544.

The previous prime is 528491. The next prime is 528509. The reversal of 528496 is 694825.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a d-powerful number, because it can be written as 52 + 218 + 49 + 84 + 92 + 6 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (528491) by changing a digit.

528496 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7855 + ... + 7921.

It is an arithmetic number, because the mean of its divisors is an integer number (28458).

2528496 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 528496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569160).

528496 is an abundant number, since it is smaller than the sum of its proper divisors (609824).

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

528496 is a wasteful number, since it uses less digits than its factorization.

528496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its digits is 17280, while the sum is 34.

The square root of 528496 is about 726.9773036347. The cubic root of 528496 is about 80.8501012675.

It can be divided in two parts, 528 and 496, that added together give a 10-th power (1024 = 210).

The spelling of 528496 in words is "five hundred twenty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 29 34 58 67 68 116 134 136 232 268 272 464 493 536 986 1072 1139 1943 1972 2278 3886 3944 4556 7772 7888 9112 15544 18224 31088 33031 66062 132124 264248 528496