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1055832345 = 325175326041
BaseRepresentation
bin111110111011101…
…011100100011001
32201120201211200200
4332323223210121
54130243113340
6252434052413
735110266261
oct7673534431
92646654620
101055832345
114a1a98517
1225571a109
1313a988189
14a03227a1
1562a5e330
hex3eeeb919

1055832345 has 48 divisors (see below), whose sum is σ = 1974400272. Its totient is φ = 519966720.

The previous prime is 1055832343. The next prime is 1055832367. The reversal of 1055832345 is 5432385501.

1055832345 is a `hidden beast` number, since 10 + 5 + 583 + 23 + 45 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 202549824 + 853282521 = 14232^2 + 29211^2 .

It is not a de Polignac number, because 1055832345 - 21 = 1055832343 is a prime.

It is a super-2 number, since 2×10558323452 = 2229563881496398050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055832341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27525 + ... + 53565.

It is an arithmetic number, because the mean of its divisors is an integer number (41133339).

Almost surely, 21055832345 is an apocalyptic number.

1055832345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1055832345 is a deficient number, since it is larger than the sum of its proper divisors (918567927).

1055832345 is a wasteful number, since it uses less digits than its factorization.

1055832345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26122 (or 26119 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 1055832345 is about 32493.5739031581. The cubic root of 1055832345 is about 1018.2747796990.

The spelling of 1055832345 in words is "one billion, fifty-five million, eight hundred thirty-two thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 17 45 51 53 85 153 159 255 265 477 765 795 901 2385 2703 4505 8109 13515 26041 40545 78123 130205 234369 390615 442697 1171845 1328091 1380173 2213485 3984273 4140519 6640455 6900865 12421557 19921365 20702595 23462941 62107785 70388823 117314705 211166469 351944115 1055832345