Search a number
-
+
242461152 = 2532841879
BaseRepresentation
bin11100111001110…
…10100111100000
3121220020022011200
432130322213200
5444032224102
640020441200
76002612553
oct1634724740
9556208150
10242461152
1111495471a
1269249200
133b30314b
14242b669a
151644551c
hexe73a9e0

242461152 has 36 divisors (see below), whose sum is σ = 689499720. Its totient is φ = 80820288.

The previous prime is 242461151. The next prime is 242461159. The reversal of 242461152 is 251164242.

242461152 is a `hidden beast` number, since 2 + 42 + 4 + 611 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242461151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 420652 + ... + 421227.

It is an arithmetic number, because the mean of its divisors is an integer number (19152770).

Almost surely, 2242461152 is an apocalyptic number.

It is an amenable number.

242461152 is an abundant number, since it is smaller than the sum of its proper divisors (447038568).

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

242461152 is a wasteful number, since it uses less digits than its factorization.

242461152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841895 (or 841884 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 242461152 is about 15571.1641183310. The cubic root of 242461152 is about 623.5635508179.

The spelling of 242461152 in words is "two hundred forty-two million, four hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 841879 1683758 2525637 3367516 5051274 6735032 7576911 10102548 13470064 15153822 20205096 26940128 30307644 40410192 60615288 80820384 121230576 242461152