Search a number
-
+
242549856 = 2533280729
BaseRepresentation
bin11100111010100…
…00010001100000
3121220101210212000
432131100101200
5444043043411
640022404000
76003432303
oct1635202140
9556353760
10242549856
11114a0532a
1269290600
133b334633
14242dab3a
1516461956
hexe750460

242549856 has 48 divisors (see below), whose sum is σ = 707439600. Its totient is φ = 80849664.

The previous prime is 242549819. The next prime is 242549917. The reversal of 242549856 is 658945242.

242549856 is a `hidden beast` number, since 24 + 2 + 549 + 85 + 6 = 666.

242549856 is digitally balanced in base 3, 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 (48).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 139501 + ... + 141228.

It is an arithmetic number, because the mean of its divisors is an integer number (14738325).

Almost surely, 2242549856 is an apocalyptic number.

It is an amenable number.

242549856 is an abundant number, since it is smaller than the sum of its proper divisors (464889744).

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

242549856 is a wasteful number, since it uses less digits than its factorization.

242549856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280748 (or 280734 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 242549856 is about 15574.0121998154. The cubic root of 242549856 is about 623.6395847678.

The spelling of 242549856 in words is "two hundred forty-two million, five hundred forty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 280729 561458 842187 1122916 1684374 2245832 2526561 3368748 4491664 5053122 6737496 7579683 8983328 10106244 13474992 15159366 20212488 26949984 30318732 40424976 60637464 80849952 121274928 242549856