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132826384 = 2438921341
BaseRepresentation
bin1111110101011…
…00010100010000
3100020221021112201
413322230110100
5233000421014
621102532544
73202001635
oct772542420
9306837481
10132826384
1168a82479
1238597154
13216980c2
14138d818c
15b9dae74
hex7eac510

132826384 has 20 divisors (see below), whose sum is σ = 258024780. Its totient is φ = 66239360.

The previous prime is 132826381. The next prime is 132826387. The reversal of 132826384 is 483628231.

132826384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132826381) and next prime (132826387).

It can be written as a sum of positive squares in 2 ways, for example, as 94633984 + 38192400 = 9728^2 + 6180^2 .

It is not an unprimeable number, because it can be changed into a prime (132826381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4447 + ... + 16894.

It is an arithmetic number, because the mean of its divisors is an integer number (12901239).

Almost surely, 2132826384 is an apocalyptic number.

It is an amenable number.

132826384 is a deficient number, since it is larger than the sum of its proper divisors (125198396).

132826384 is a wasteful number, since it uses less digits than its factorization.

132826384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21738 (or 21732 counting only the distinct ones).

The product of its digits is 55296, while the sum is 37.

The square root of 132826384 is about 11525.0329283694. The cubic root of 132826384 is about 510.2246658494.

The spelling of 132826384 in words is "one hundred thirty-two million, eight hundred twenty-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 389 778 1556 3112 6224 21341 42682 85364 170728 341456 8301649 16603298 33206596 66413192 132826384