Search a number
-
+
242885088 = 2533281117
BaseRepresentation
bin11100111101000…
…10000111100000
3121221000211201000
432132202013200
5444134310323
640033512000
76006326535
oct1636420740
9557024630
10242885088
11115114186
1269412600
133b4210b4
1424386d8c
15164cae43
hexe7a21e0

242885088 has 48 divisors (see below), whose sum is σ = 708417360. Its totient is φ = 80961408.

The previous prime is 242885081. The next prime is 242885099. The reversal of 242885088 is 880588242.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242885081) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 139695 + ... + 141422.

It is an arithmetic number, because the mean of its divisors is an integer number (14758695).

Almost surely, 2242885088 is an apocalyptic number.

It is an amenable number.

242885088 is an abundant number, since it is smaller than the sum of its proper divisors (465532272).

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

242885088 is a wasteful number, since it uses less digits than its factorization.

242885088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281136 (or 281122 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 242885088 is about 15584.7710281544. The cubic root of 242885088 is about 623.9267665535.

The spelling of 242885088 in words is "two hundred forty-two million, eight hundred eighty-five thousand, eighty-eight".

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 281117 562234 843351 1124468 1686702 2248936 2530053 3373404 4497872 5060106 6746808 7590159 8995744 10120212 13493616 15180318 20240424 26987232 30360636 40480848 60721272 80961696 121442544 242885088