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241642912 = 2572198111
BaseRepresentation
bin11100110011100…
…10110110100000
3121211200201202111
432121302312200
5443330033122
635551125104
75662634200
oct1631626640
9554621674
10241642912
11114445995
1268b13794
133b0a7894
1424142400
1516332d77
hexe672da0

241642912 has 72 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 98098560.

The previous prime is 241642903. The next prime is 241642927. The reversal of 241642912 is 219246142.

241642912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 25737 + ... + 33847.

It is an arithmetic number, because the mean of its divisors is an integer number (8091720).

Almost surely, 2241642912 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 241642912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

241642912 is an abundant number, since it is smaller than the sum of its proper divisors (340960928).

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

241642912 is a wasteful number, since it uses less digits than its factorization.

241642912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8154 (or 8139 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 241642912 is about 15544.8677060952. The cubic root of 241642912 is about 622.8613081833.

The spelling of 241642912 in words is "two hundred forty-one million, six hundred forty-two thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 76 98 112 133 152 196 224 266 304 392 532 608 784 931 1064 1568 1862 2128 3724 4256 7448 8111 14896 16222 29792 32444 56777 64888 113554 129776 154109 227108 259552 308218 397439 454216 616436 794878 908432 1078763 1232872 1589756 1816864 2157526 2465744 3179512 4315052 4931488 6359024 7551341 8630104 12718048 15102682 17260208 30205364 34520416 60410728 120821456 241642912