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526580381 = 223210589
BaseRepresentation
bin11111011000101…
…111101010011101
31100200212001111002
4133120233222131
52034301033011
6124130240045
716022600525
oct3730575235
91320761432
10526580381
112502716a8
12128426025
1385130732
144dd14685
1531368c3b
hex1f62fa9d

526580381 has 6 divisors (see below), whose sum is σ = 529002270. Its totient is φ = 524169528.

The previous prime is 526580363. The next prime is 526580399. The reversal of 526580381 is 183085625.

It is an interprime number because it is at equal distance from previous prime (526580363) and next prime (526580399).

It can be written as a sum of positive squares in only one way, i.e., 359292025 + 167288356 = 18955^2 + 12934^2 .

It is not a de Polignac number, because 526580381 - 226 = 459471517 is a prime.

It is a super-2 number, since 2×5265803812 = 554573795308210322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (526580581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 44435 + ... + 55023.

It is an arithmetic number, because the mean of its divisors is an integer number (88167045).

Almost surely, 2526580381 is an apocalyptic number.

It is an amenable number.

526580381 is a deficient number, since it is larger than the sum of its proper divisors (2421889).

526580381 is an equidigital number, since it uses as much as digits as its factorization.

526580381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11035 (or 10812 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The square root of 526580381 is about 22947.3393011042. The cubic root of 526580381 is about 807.5229826008.

The spelling of 526580381 in words is "five hundred twenty-six million, five hundred eighty thousand, three hundred eighty-one".

Divisors: 1 223 10589 49729 2361347 526580381