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242284048 = 24192413307
BaseRepresentation
bin11100111000011…
…11011000010000
3121212220022020021
432130033120100
5444011042143
640012553224
76001244326
oct1634173020
9555808207
10242284048
11114843656
1269182814
133b270656
142426bd16
151640cced
hexe70f610

242284048 has 40 divisors (see below), whose sum is σ = 496332320. Its totient is φ = 114255360.

The previous prime is 242284043. The next prime is 242284079. The reversal of 242284048 is 840482242.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (242284043) 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, 71611 + ... + 74917.

It is an arithmetic number, because the mean of its divisors is an integer number (12408308).

Almost surely, 2242284048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 242284048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248166160).

242284048 is an abundant number, since it is smaller than the sum of its proper divisors (254048272).

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

242284048 is a wasteful number, since it uses less digits than its factorization.

242284048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 242284048 is about 15565.4761571884. The cubic root of 242284048 is about 623.4116880032.

The spelling of 242284048 in words is "two hundred forty-two million, two hundred eighty-four thousand, forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 241 304 482 964 1928 3307 3856 4579 6614 9158 13228 18316 26456 36632 52912 62833 73264 125666 251332 502664 796987 1005328 1593974 3187948 6375896 12751792 15142753 30285506 60571012 121142024 242284048