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132444432 = 24324122433
BaseRepresentation
bin1111110010011…
…11000100010000
3100020012212121100
413321033010100
5232401210212
621050424400
73165521241
oct771170420
9306185540
10132444432
116884150a
1238432100
13215932b3
1413838cc8
15b962bdc
hex7e4f110

132444432 has 60 divisors (see below), whose sum is σ = 379717884. Its totient is φ = 43069440.

The previous prime is 132444413. The next prime is 132444443. The reversal of 132444432 is 234444231.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 60466176 + 71978256 = 7776^2 + 8484^2 .

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132444396 and 132444405.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 5313 + ... + 17120.

Almost surely, 2132444432 is an apocalyptic number.

132444432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132444432 is an abundant number, since it is smaller than the sum of its proper divisors (247273452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132444432 is a wasteful number, since it uses less digits than its factorization.

132444432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22488 (or 22479 counting only the distinct ones).

The product of its digits is 9216, while the sum is 27.

The square root of 132444432 is about 11508.4504604225. The cubic root of 132444432 is about 509.7351335160.

Adding to 132444432 its reverse (234444231), we get a palindrome (366888663).

The spelling of 132444432 in words is "one hundred thirty-two million, four hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 656 738 984 1476 1968 2952 5904 22433 44866 67299 89732 134598 179464 201897 269196 358928 403794 538392 807588 919753 1076784 1615176 1839506 2759259 3230352 3679012 5518518 7358024 8277777 11037036 14716048 16555554 22074072 33111108 44148144 66222216 132444432