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242104912 = 2473721579
BaseRepresentation
bin11100110111000…
…11101001010000
3121212120012111121
432123203221100
5443434324122
640005052024
75666600140
oct1633435120
9555505447
10242104912
11114731005
12690b7014
133b209c5a
1424222920
15163c4bc7
hexe6e3a50

242104912 has 60 divisors (see below), whose sum is σ = 551318880. Its totient is φ = 100891008.

The previous prime is 242104909. The next prime is 242104927. The reversal of 242104912 is 219401242.

242104912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2421049122 = 117229576829055488, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152539 + ... + 154117.

It is an arithmetic number, because the mean of its divisors is an integer number (9188648).

Almost surely, 2242104912 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 242104912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275659440).

242104912 is an abundant number, since it is smaller than the sum of its proper divisors (309213968).

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

242104912 is a wasteful number, since it uses less digits than its factorization.

242104912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 242104912 is about 15559.7208201176. The cubic root of 242104912 is about 623.2580074902.

The spelling of 242104912 in words is "two hundred forty-two million, one hundred four thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 592 1036 1369 1579 2072 2738 3158 4144 5476 6316 9583 10952 11053 12632 19166 21904 22106 25264 38332 44212 58423 76664 88424 116846 153328 176848 233692 408961 467384 817922 934768 1635844 2161651 3271688 4323302 6543376 8646604 15131557 17293208 30263114 34586416 60526228 121052456 242104912