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245564540 = 225132413919
BaseRepresentation
bin11101010001100…
…00010001111100
3122010001222012222
432220300101330
51000331031130
640211144512
76041156414
oct1650602174
9563058188
10245564540
11116684301
126a2a5138
133bb4b880
1424883644
1516859ce5
hexea3047c

245564540 has 48 divisors (see below), whose sum is σ = 557800320. Its totient is φ = 90270720.

The previous prime is 245564503. The next prime is 245564563. The reversal of 245564540 is 45465542.

It is a self number, because there is not a number n which added to its sum of digits gives 245564540.

It is a congruent number.

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, 60701 + ... + 64619.

It is an arithmetic number, because the mean of its divisors is an integer number (11620840).

Almost surely, 2245564540 is an apocalyptic number.

245564540 is a gapful number since it is divisible by the number (20) 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 245564540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278900160).

245564540 is an abundant number, since it is smaller than the sum of its proper divisors (312235780).

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

245564540 is a wasteful number, since it uses less digits than its factorization.

245564540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4182 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The square root of 245564540 is about 15670.4990348106. The cubic root of 245564540 is about 626.2127195096.

The spelling of 245564540 in words is "two hundred forty-five million, five hundred sixty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 241 260 482 964 1205 2410 3133 3919 4820 6266 7838 12532 15665 15676 19595 31330 39190 50947 62660 78380 101894 203788 254735 509470 944479 1018940 1888958 3777916 4722395 9444790 12278227 18889580 24556454 49112908 61391135 122782270 245564540