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133884849 = 37193071093
BaseRepresentation
bin1111111101011…
…10101110110001
3100022221001111010
413332232232301
5233233303344
621141341133
73214000560
oct776565661
9308831433
10133884849
116963573a
1238a077a9
1321978b07
1413ad1bd7
15bb498b9
hex7faebb1

133884849 has 32 divisors (see below), whose sum is σ = 215649280. Its totient is φ = 72176832.

The previous prime is 133884823. The next prime is 133884857. The reversal of 133884849 is 948488331.

It is not a de Polignac number, because 133884849 - 28 = 133884593 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133884798 and 133884807.

It is not an unprimeable number, because it can be changed into a prime (133884869) 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 31 ways as a sum of consecutive naturals, for example, 121947 + ... + 123039.

It is an arithmetic number, because the mean of its divisors is an integer number (6739040).

Almost surely, 2133884849 is an apocalyptic number.

133884849 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

133884849 is a deficient number, since it is larger than the sum of its proper divisors (81764431).

133884849 is a wasteful number, since it uses less digits than its factorization.

133884849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429.

The product of its digits is 663552, while the sum is 48.

The square root of 133884849 is about 11570.8620681434. The cubic root of 133884849 is about 511.5763720506.

The spelling of 133884849 in words is "one hundred thirty-three million, eight hundred eighty-four thousand, eight hundred forty-nine".

Divisors: 1 3 7 19 21 57 133 307 399 921 1093 2149 3279 5833 6447 7651 17499 20767 22953 40831 62301 122493 145369 335551 436107 1006653 2348857 6375469 7046571 19126407 44628283 133884849