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45443232 = 2532295441
BaseRepresentation
bin1010110101011…
…0100010100000
310011111202101200
42231112202200
543113140412
64302001200
71061155362
oct255264240
9104452350
1045443232
112371919a
1213276200
1395512b3
14606cd32
153ec99dc
hex2b568a0

45443232 has 72 divisors (see below), whose sum is σ = 133709940. Its totient is φ = 14622720.

The previous prime is 45443197. The next prime is 45443243. The reversal of 45443232 is 23234454.

It can be written as a sum of positive squares in 2 ways, for example, as 44675856 + 767376 = 6684^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 45443196 and 45443205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5632 + ... + 11072.

Almost surely, 245443232 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 45443232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66854970).

45443232 is an abundant number, since it is smaller than the sum of its proper divisors (88266708).

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

45443232 is a wasteful number, since it uses less digits than its factorization.

45443232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5486 (or 5475 counting only the distinct ones).

The product of its digits is 11520, while the sum is 27.

The square root of 45443232 is about 6741.1595441734. The cubic root of 45443232 is about 356.8533163839.

Adding to 45443232 its reverse (23234454), we get a palindrome (68677686).

It can be divided in two parts, 4544 and 3232, that added together give a 5-th power (7776 = 65).

The spelling of 45443232 in words is "forty-five million, four hundred forty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 5441 8352 10882 16323 21764 32646 43528 48969 65292 87056 97938 130584 157789 174112 195876 261168 315578 391752 473367 522336 631156 783504 946734 1262312 1420101 1567008 1893468 2524624 2840202 3786936 5049248 5680404 7573872 11360808 15147744 22721616 45443232