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45233056 = 2511177559
BaseRepresentation
bin1010110010001…
…1001110100000
310011010002002101
42230203032200
543034424211
64253300144
71056321541
oct254431640
9104102071
1045233056
11235952a0
1213194654
1394a972b
1460164c8
153e875c1
hex2b233a0

45233056 has 48 divisors (see below), whose sum is σ = 102876480. Its totient is φ = 19348480.

The previous prime is 45233051. The next prime is 45233057. The reversal of 45233056 is 65033254.

It is not an unprimeable number, because it can be changed into a prime (45233051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2205 + ... + 9763.

It is an arithmetic number, because the mean of its divisors is an integer number (2143260).

Almost surely, 245233056 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 45233056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51438240).

45233056 is an abundant number, since it is smaller than the sum of its proper divisors (57643424).

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

45233056 is a wasteful number, since it uses less digits than its factorization.

45233056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7597 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 45233056 is about 6725.5524680133. The cubic root of 45233056 is about 356.3023144267.

The spelling of 45233056 in words is "forty-five million, two hundred thirty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 68 88 136 176 187 272 352 374 544 748 1496 2992 5984 7559 15118 30236 60472 83149 120944 128503 166298 241888 257006 332596 514012 665192 1028024 1330384 1413533 2056048 2660768 2827066 4112096 5654132 11308264 22616528 45233056