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1057427584 = 2723333541
BaseRepresentation
bin111111000001110…
…001000010000000
32201200201212221121
4333001301002000
54131200140314
6252532202024
735126662153
oct7701610200
92650655847
101057427584
114a2987aa4
12256169314
1313b0c62c5
14a0619c9a
1562c76d24
hex3f071080

1057427584 has 32 divisors (see below), whose sum is σ = 2108092140. Its totient is φ = 528337920.

The previous prime is 1057427543. The next prime is 1057427593. The reversal of 1057427584 is 4857247501.

1057427584 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 1041998400 + 15429184 = 32280^2 + 3928^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10574275842 = 2236306190808154112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057427584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 296854 + ... + 300394.

Almost surely, 21057427584 is an apocalyptic number.

It is an amenable number.

1057427584 is a deficient number, since it is larger than the sum of its proper divisors (1050664556).

1057427584 is an equidigital number, since it uses as much as digits as its factorization.

1057427584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5888 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 43.

The square root of 1057427584 is about 32518.1116302900. Note that the first 3 decimals coincide. The cubic root of 1057427584 is about 1018.7873529456.

The spelling of 1057427584 in words is "one billion, fifty-seven million, four hundred twenty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 32 64 128 2333 3541 4666 7082 9332 14164 18664 28328 37328 56656 74656 113312 149312 226624 298624 453248 8261153 16522306 33044612 66089224 132178448 264356896 528713792 1057427584