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45245280 = 253594261
BaseRepresentation
bin1010110010011…
…0001101100000
310011010200212010
42230212031200
543040322110
64253432520
71056402303
oct254461540
9104120763
1045245280
11235a34a3
121319b740
1394b2172
14601ab3a
153e8b020
hex2b26360

45245280 has 48 divisors (see below), whose sum is σ = 142524144. Its totient is φ = 12065280.

The previous prime is 45245219. The next prime is 45245287. The reversal of 45245280 is 8254254.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45245287) 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, 46651 + ... + 47610.

It is an arithmetic number, because the mean of its divisors is an integer number (2969253).

Almost surely, 245245280 is an apocalyptic number.

45245280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45245280 is an abundant number, since it is smaller than the sum of its proper divisors (97278864).

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

45245280 is a wasteful number, since it uses less digits than its factorization.

45245280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94279 (or 94271 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

The square root of 45245280 is about 6726.4611795505. The cubic root of 45245280 is about 356.3344078233.

The spelling of 45245280 in words is "forty-five million, two hundred forty-five thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 94261 188522 282783 377044 471305 565566 754088 942610 1131132 1413915 1508176 1885220 2262264 2827830 3016352 3770440 4524528 5655660 7540880 9049056 11311320 15081760 22622640 45245280