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242441808 = 24372103079
BaseRepresentation
bin11100111001101…
…01111001010000
3121220012022122020
432130311321100
5444031114213
640020211440
76002502300
oct1634657120
9556168566
10242441808
11114941134
1269239b80
133b2c73bb
14242ad600
151643e923
hexe735e50

242441808 has 60 divisors (see below), whose sum is σ = 728569440. Its totient is φ = 69268416.

The previous prime is 242441807. The next prime is 242441813. The reversal of 242441808 is 808144242.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242441803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49188 + ... + 53891.

It is an arithmetic number, because the mean of its divisors is an integer number (12142824).

Almost surely, 2242441808 is an apocalyptic number.

242441808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

242441808 is an abundant number, since it is smaller than the sum of its proper divisors (486127632).

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

242441808 is a wasteful number, since it uses less digits than its factorization.

242441808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103104 (or 103091 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 242441808 is about 15570.5429577777. The cubic root of 242441808 is about 623.5469673583.

The spelling of 242441808 in words is "two hundred forty-two million, four hundred forty-one thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 103079 206158 309237 412316 618474 721553 824632 1236948 1443106 1649264 2164659 2473896 2886212 4329318 4947792 5050871 5772424 8658636 10101742 11544848 15152613 17317272 20203484 30305226 34634544 40406968 60610452 80813936 121220904 242441808