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45252045 = 32517149397
BaseRepresentation
bin1010110010011…
…1110111001101
310011011001010200
42230213313031
543041031140
64253524113
71056431106
oct254476715
9104131120
1045252045
11235a8593
12131a3639
1394b5277
14601d3ad
153e8d030
hex2b27dcd

45252045 has 48 divisors (see below), whose sum is σ = 83818800. Its totient is φ = 22505472.

The previous prime is 45252041. The next prime is 45252047. The reversal of 45252045 is 54025254.

45252045 is a `hidden beast` number, since 452 + 5 + 204 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 133956 + 45118089 = 366^2 + 6717^2 .

It is not a de Polignac number, because 45252045 - 22 = 45252041 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45252041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113787 + ... + 114183.

It is an arithmetic number, because the mean of its divisors is an integer number (1746225).

Almost surely, 245252045 is an apocalyptic number.

45252045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45252045 is a deficient number, since it is larger than the sum of its proper divisors (38566755).

45252045 is a wasteful number, since it uses less digits than its factorization.

45252045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 45252045 is about 6726.9640254724. The cubic root of 45252045 is about 356.3521664501.

Adding to 45252045 its reverse (54025254), we get a palindrome (99277299).

The spelling of 45252045 in words is "forty-five million, two hundred fifty-two thousand, forty-five".

Divisors: 1 3 5 9 15 17 45 51 85 149 153 255 397 447 745 765 1191 1341 1985 2235 2533 3573 5955 6705 6749 7599 12665 17865 20247 22797 33745 37995 59153 60741 101235 113985 177459 295765 303705 532377 887295 1005601 2661885 3016803 5028005 9050409 15084015 45252045