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242446480 = 2453030581
BaseRepresentation
bin11100111001101…
…11000010010000
3121220012120001021
432130313002100
5444031241410
640020245224
76002522023
oct1634670220
9556176037
10242446480
111149446a1
1269240814
133b2c9573
14242b11ba
1516440eda
hexe737090

242446480 has 20 divisors (see below), whose sum is σ = 563688252. Its totient is φ = 96978560.

The previous prime is 242446453. The next prime is 242446481. The reversal of 242446480 is 84644242.

242446480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 127870864 + 114575616 = 11308^2 + 10704^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (242446481) 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 3 ways as a sum of consecutive naturals, for example, 1515211 + ... + 1515370.

Almost surely, 2242446480 is an apocalyptic number.

242446480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242446480 is an abundant number, since it is smaller than the sum of its proper divisors (321241772).

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

242446480 is a wasteful number, since it uses less digits than its factorization.

242446480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030594 (or 3030588 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

The square root of 242446480 is about 15570.6929839362. The cubic root of 242446480 is about 623.5509727081.

The spelling of 242446480 in words is "two hundred forty-two million, four hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 3030581 6061162 12122324 15152905 24244648 30305810 48489296 60611620 121223240 242446480