Search a number
-
+
241593984 = 2732209717
BaseRepresentation
bin11100110011001…
…10111010000000
3121211121020122100
432121212322000
5443322001414
635550110400
75662341432
oct1631467200
9554536570
10241593984
11114412155
1268aab400
133b08b528
142412c652
1516323609
hexe666e80

241593984 has 48 divisors (see below), whose sum is σ = 695215170. Its totient is φ = 80530944.

The previous prime is 241593931. The next prime is 241594009. The reversal of 241593984 is 489395142.

It can be written as a sum of positive squares in only one way, i.e., 217857600 + 23736384 = 14760^2 + 4872^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 103707 + ... + 106010.

Almost surely, 2241593984 is an apocalyptic number.

241593984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241593984 is an abundant number, since it is smaller than the sum of its proper divisors (453621186).

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

241593984 is a wasteful number, since it uses less digits than its factorization.

241593984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209737 (or 209722 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 241593984 is about 15543.2938594109. The cubic root of 241593984 is about 622.8192662367.

The spelling of 241593984 in words is "two hundred forty-one million, five hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 209717 419434 629151 838868 1258302 1677736 1887453 2516604 3355472 3774906 5033208 6710944 7549812 10066416 13421888 15099624 20132832 26843776 30199248 40265664 60398496 80531328 120796992 241593984