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132411444 = 223111039739
BaseRepresentation
bin1111110010001…
…11000000110100
3100020011012100120
413321013000310
5232344131234
621050011540
73165323124
oct771070064
9306135316
10132411444
1168819750
1238416bb0
1321581289
141382ac84
15b958049
hex7e47034

132411444 has 48 divisors (see below), whose sum is σ = 340354560. Its totient is φ = 39731040.

The previous prime is 132411443. The next prime is 132411449. The reversal of 132411444 is 444114231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132411443) 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 15 ways as a sum of consecutive naturals, for example, 8727 + ... + 18465.

It is an arithmetic number, because the mean of its divisors is an integer number (7090720).

Almost surely, 2132411444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132411444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170177280).

132411444 is an abundant number, since it is smaller than the sum of its proper divisors (207943116).

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

132411444 is a wasteful number, since it uses less digits than its factorization.

132411444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9860 (or 9858 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 132411444 is about 11507.0171634529. The cubic root of 132411444 is about 509.6928100083.

Adding to 132411444 its reverse (444114231), we get a palindrome (576525675).

The spelling of 132411444 in words is "one hundred thirty-two million, four hundred eleven thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 4532 6798 9739 13596 19478 29217 38956 58434 107129 116868 214258 321387 428516 642774 1003117 1285548 2006234 3009351 4012468 6018702 11034287 12037404 22068574 33102861 44137148 66205722 132411444