Search a number
-
+
245848960 = 275754877
BaseRepresentation
bin11101010011101…
…01101110000000
3122010121102101001
432221311232000
51000414131320
640221221344
76043452550
oct1651655600
9563542331
10245848960
11116858a65
126a401854
133bc1b176
1424919160
15168b420a
hexea75b80

245848960 has 64 divisors (see below), whose sum is σ = 671706720. Its totient is φ = 84289536.

The previous prime is 245848907. The next prime is 245848987. The reversal of 245848960 is 69848542.

245848960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×2458489602 = 120883422266163200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 245848960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22959 + ... + 31918.

Almost surely, 2245848960 is an apocalyptic number.

245848960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245848960 is an abundant number, since it is smaller than the sum of its proper divisors (425857760).

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

245848960 is an equidigital number, since it uses as much as digits as its factorization.

245848960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54903 (or 54891 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 46.

The square root of 245848960 is about 15679.5714227143. The cubic root of 245848960 is about 626.4543921643.

The spelling of 245848960 in words is "two hundred forty-five million, eight hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 54877 109754 219508 274385 384139 439016 548770 768278 878032 1097540 1536556 1756064 1920695 2195080 3073112 3512128 3841390 4390160 6146224 7024256 7682780 8780320 12292448 15365560 17560640 24584896 30731120 35121280 49169792 61462240 122924480 245848960