Search a number
-
+
242555643 = 321117167863
BaseRepresentation
bin11100111010100…
…01101011111011
3121220102002210100
432131101223323
5444043240033
640022450443
76003455211
oct1635215373
9556362710
10242555643
11114a09710
1269293a23
133b337165
14242dccb1
1516463513
hexe751afb

242555643 has 48 divisors (see below), whose sum is σ = 407586816. Its totient is φ = 137368320.

The previous prime is 242555639. The next prime is 242555699. The reversal of 242555643 is 346555242.

242555643 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 5 + 5 + 643 = 666.

It is not a de Polignac number, because 242555643 - 22 = 242555639 is a prime.

It is a super-2 number, since 2×2425556432 = 117666479902286898, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242555598 and 242555607.

It is not an unprimeable number, because it can be changed into a prime (242555143) 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, 280630 + ... + 281492.

It is an arithmetic number, because the mean of its divisors is an integer number (8491392).

Almost surely, 2242555643 is an apocalyptic number.

242555643 is a deficient number, since it is larger than the sum of its proper divisors (165031173).

242555643 is a wasteful number, since it uses less digits than its factorization.

242555643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1061 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 242555643 is about 15574.1979889816. The cubic root of 242555643 is about 623.6445445365.

The spelling of 242555643 in words is "two hundred forty-two million, five hundred fifty-five thousand, six hundred forty-three".

Divisors: 1 3 9 11 17 33 51 99 153 167 187 501 561 863 1503 1683 1837 2589 2839 5511 7767 8517 9493 14671 16533 25551 28479 31229 44013 85437 93687 132039 144121 161381 281061 432363 484143 1297089 1452429 1585331 2450057 4755993 7350171 14267979 22050513 26950627 80851881 242555643