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45426320 = 245567829
BaseRepresentation
bin1010110101001…
…0011010010000
310011110220012022
42231102122100
543112120240
64301351012
71061055152
oct255223220
9104426168
1045426320
1123707515
1213268468
1395466a4
146066ad2
153ec49b5
hex2b52690

45426320 has 20 divisors (see below), whose sum is σ = 105616380. Its totient is φ = 18170496.

The previous prime is 45426313. The next prime is 45426341. The reversal of 45426320 is 2362454.

It can be written as a sum of positive squares in 2 ways, for example, as 32581264 + 12845056 = 5708^2 + 3584^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 45426320.

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 3 ways as a sum of consecutive naturals, for example, 283835 + ... + 283994.

It is an arithmetic number, because the mean of its divisors is an integer number (5280819).

Almost surely, 245426320 is an apocalyptic number.

45426320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45426320 is an abundant number, since it is smaller than the sum of its proper divisors (60190060).

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

45426320 is a wasteful number, since it uses less digits than its factorization.

45426320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567842 (or 567836 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 45426320 is about 6739.9050438415. The cubic root of 45426320 is about 356.8090424488.

Adding to 45426320 its reverse (2362454), we get a palindrome (47788774).

It can be divided in two parts, 45 and 426320, that multiplied together give a square (19184400 = 43802).

The spelling of 45426320 in words is "forty-five million, four hundred twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 567829 1135658 2271316 2839145 4542632 5678290 9085264 11356580 22713160 45426320