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45275560 = 23511432393
BaseRepresentation
bin1010110010110…
…1100110101000
310011012020101121
42230231212220
543042304220
64254225024
71056556501
oct254554650
9104166347
1045275560
1123614220
12131b5174
1394c2b95
146027ba8
153e94eaa
hex2b2d9a8

45275560 has 64 divisors (see below), whose sum is σ = 113762880. Its totient is φ = 16074240.

The previous prime is 45275513. The next prime is 45275609. The reversal of 45275560 is 6557254.

45275560 is nontrivially palindromic in base 7.

45275560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 17724 + ... + 20116.

It is an arithmetic number, because the mean of its divisors is an integer number (1777545).

Almost surely, 245275560 is an apocalyptic number.

45275560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45275560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56881440).

45275560 is an abundant number, since it is smaller than the sum of its proper divisors (68487320).

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

45275560 is a wasteful number, since it uses less digits than its factorization.

45275560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 34.

The square root of 45275560 is about 6728.7116151608. The cubic root of 45275560 is about 356.4138813048.

The spelling of 45275560 in words is "forty-five million, two hundred seventy-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 43 44 55 86 88 110 172 215 220 344 430 440 473 860 946 1720 1892 2365 2393 3784 4730 4786 9460 9572 11965 18920 19144 23930 26323 47860 52646 95720 102899 105292 131615 205798 210584 263230 411596 514495 526460 823192 1028990 1052920 1131889 2057980 2263778 4115960 4527556 5659445 9055112 11318890 22637780 45275560