Search a number
-
+
242048576 = 2671149117
BaseRepresentation
bin11100110110101…
…01111001000000
3121212110100020002
432123111321000
5443431023301
640003535132
75666243660
oct1633257100
9555410202
10242048576
111146a2750
126908a4a8
133b1ba413
142420a1a0
15163b316b
hexe6d5e40

242048576 has 56 divisors (see below), whose sum is σ = 598846656. Its totient is φ = 94302720.

The previous prime is 242048539. The next prime is 242048579. The reversal of 242048576 is 675840242.

242048576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (242048579) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19631 + ... + 29486.

Almost surely, 2242048576 is an apocalyptic number.

It is an amenable number.

242048576 is an abundant number, since it is smaller than the sum of its proper divisors (356798080).

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

242048576 is a wasteful number, since it uses less digits than its factorization.

242048576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49147 (or 49137 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The square root of 242048576 is about 15557.9103995363. The cubic root of 242048576 is about 623.2096612497.

The spelling of 242048576 in words is "two hundred forty-two million, forty-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 49117 98234 196468 343819 392936 540287 687638 785872 1080574 1375276 1571744 2161148 2750552 3143488 3782009 4322296 5501104 7564018 8644592 11002208 15128036 17289184 22004416 30256072 34578368 60512144 121024288 242048576