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527076 = 2232114
BaseRepresentation
bin10000000101011100100
3222210000100
42000223210
5113331301
615144100
74323444
oct2005344
9883010
10527076
11330000
12215030
13155ba4
14da124
15a6286
hex80ae4

527076 has 45 divisors (see below), whose sum is σ = 1465555. Its totient is φ = 159720.

The previous prime is 527071. The next prime is 527081. The reversal of 527076 is 670725.

The square root of 527076 is 726.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (527071) and next prime (527081).

It is an Ulam number.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 527076.

It is not an unprimeable number, because it can be changed into a prime (527071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 47911 + ... + 47921.

527076 is a Friedman number, since it can be written as (720+6)^(7-5), using all its digits and the basic arithmetic operations.

2527076 is an apocalyptic number.

527076 is the 726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 527076

527076 is an abundant number, since it is smaller than the sum of its proper divisors (938479).

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

527076 is a wasteful number, since it uses less digits than its factorization.

527076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The cubic root of 527076 is about 80.7776250825. Note that the first 3 decimals are identical.

The spelling of 527076 in words is "five hundred twenty-seven thousand, seventy-six".