Search a number
-
+
45366560 = 255283541
BaseRepresentation
bin1010110100001…
…1110100100000
310011100212012222
42231003310200
543103212220
64300210212
71060416011
oct255036440
9104325188
1045366560
1123676628
1213239968
139525425
14604d008
153eb1e25
hex2b43d20

45366560 has 24 divisors (see below), whose sum is σ = 107178876. Its totient is φ = 18146560.

The previous prime is 45366553. The next prime is 45366577. The reversal of 45366560 is 6566354.

It can be written as a sum of positive squares in 2 ways, for example, as 44782864 + 583696 = 6692^2 + 764^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 45366560.

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, 141611 + ... + 141930.

Almost surely, 245366560 is an apocalyptic number.

45366560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45366560 is an abundant number, since it is smaller than the sum of its proper divisors (61812316).

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

45366560 is a wasteful number, since it uses less digits than its factorization.

45366560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283556 (or 283548 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 45366560 is about 6735.4702879606. The cubic root of 45366560 is about 356.6525086334.

The spelling of 45366560 in words is "forty-five million, three hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283541 567082 1134164 1417705 2268328 2835410 4536656 5670820 9073312 11341640 22683280 45366560