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536061409 = 1341372
BaseRepresentation
bin11111111100111…
…010010111100001
31101100200202000021
4133330322113201
52044212431114
6125105353441
716166306152
oct3774722741
91340622007
10536061409
11255657964
1212b638881
13870a0000
14512a1929
15320dd024
hex1ff3a5e1

536061409 has 15 divisors (see below), whose sum is σ = 585001487. Its totient is φ = 491214048.

The previous prime is 536061401. The next prime is 536061419. The reversal of 536061409 is 904160635.

The square root of 536061409 is 23153.

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

It can be written as a sum of positive squares in 7 ways, for example, as 531533025 + 4528384 = 23055^2 + 2128^2 .

It is not a de Polignac number, because 536061409 - 23 = 536061401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536061401) 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 14 ways as a sum of consecutive naturals, for example, 3912789 + ... + 3912925.

Almost surely, 2536061409 is an apocalyptic number.

536061409 is the 23153-rd square number.

536061409 is the 11577-th centered octagonal number.

It is an amenable number.

536061409 is a deficient number, since it is larger than the sum of its proper divisors (48940078).

536061409 is an frugal number, since it uses more digits than its factorization.

536061409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The cubic root of 536061409 is about 812.3406407462.

The spelling of 536061409 in words is "five hundred thirty-six million, sixty-one thousand, four hundred nine".

Divisors: 1 13 137 169 1781 2197 18769 23153 28561 243997 300989 3171961 3912857 41235493 536061409