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133240849 = 72172972
BaseRepresentation
bin1111111000100…
…01100000010001
3100021201100002021
413330101200101
5233102201344
621115451441
73205346200
oct774214021
9307640067
10133240849
1169235905
1238756b81
13217b1951
14139a5237
15ba6db84
hex7f11811

133240849 has 27 divisors (see below), whose sum is σ = 166362993. Its totient is φ = 106380288.

The previous prime is 133240843. The next prime is 133240867. The reversal of 133240849 is 948042331.

The square root of 133240849 is 11543.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7800849 + 125440000 = 2793^2 + 11200^2 .

It is not a de Polignac number, because 133240849 - 217 = 133109777 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133240843) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1373569 + ... + 1373665.

Almost surely, 2133240849 is an apocalyptic number.

133240849 is the 11543-rd square number.

133240849 is the 5772-nd centered octagonal number.

It is an amenable number.

133240849 is a deficient number, since it is larger than the sum of its proper divisors (33122144).

133240849 is an frugal number, since it uses more digits than its factorization.

133240849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The cubic root of 133240849 is about 510.7548082464.

Multiplying 133240849 by its product of nonzero digits (20736), we get a square (2762882244864 = 16621922).

The spelling of 133240849 in words is "one hundred thirty-three million, two hundred forty thousand, eight hundred forty-nine".

Divisors: 1 7 17 49 97 119 289 679 833 1649 2023 4753 9409 11543 14161 28033 65863 80801 159953 196231 461041 1119671 1373617 2719201 7837697 19034407 133240849