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1057885938 = 232569103289
BaseRepresentation
bin111111000011100…
…000111011110010
32201201121011200200
4333003200323302
54131304322223
6252550100030
735133611364
oct7703407362
92651534620
101057885938
114a31703aa
1225634a616
1313b226b15
14a06d8d34
1562d17a43
hex3f0e0ef2

1057885938 has 24 divisors (see below), whose sum is σ = 2296136700. Its totient is φ = 352005504.

The previous prime is 1057885931. The next prime is 1057885949. The reversal of 1057885938 is 8395887501.

1057885938 is a `hidden beast` number, since 10 + 578 + 8 + 59 + 3 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 819276129 + 238609809 = 28623^2 + 15447^2 .

It is a super-2 number, since 2×10578859382 = 2238245315636279688, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1057885931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41403 + ... + 61886.

Almost surely, 21057885938 is an apocalyptic number.

1057885938 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1057885938 is an abundant number, since it is smaller than the sum of its proper divisors (1238250762).

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

1057885938 is a wasteful number, since it uses less digits than its factorization.

1057885938 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103866 (or 103863 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The square root of 1057885938 is about 32525.1585391985. The cubic root of 1057885938 is about 1018.9345333329.

The spelling of 1057885938 in words is "one billion, fifty-seven million, eight hundred eighty-five thousand, nine hundred thirty-eight".

Divisors: 1 2 3 6 9 18 569 1138 1707 3414 5121 10242 103289 206578 309867 619734 929601 1859202 58771441 117542882 176314323 352628646 528942969 1057885938