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1057852991 = 13269373811
BaseRepresentation
bin111111000011011…
…000111000111111
32201201112111111102
4333003120320333
54131302243431
6252545243315
735133413336
oct7703307077
92651474442
101057852991
114a3148678
1225633353b
1313b214b20
14a06cad1d
1562d0cdcb
hex3f0d8e3f

1057852991 has 16 divisors (see below), whose sum is σ = 1147940640. Its totient is φ = 969045120.

The previous prime is 1057852973. The next prime is 1057853009. The reversal of 1057852991 is 1992587501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1057852973) and next prime (1057853009).

It is a cyclic number.

It is not a de Polignac number, because 1057852991 - 218 = 1057590847 is a prime.

It is a super-2 number, since 2×10578529912 = 2238105901135292162, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057852921) 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 15 ways as a sum of consecutive naturals, for example, 1303976 + ... + 1304786.

It is an arithmetic number, because the mean of its divisors is an integer number (71746290).

Almost surely, 21057852991 is an apocalyptic number.

1057852991 is a deficient number, since it is larger than the sum of its proper divisors (90087649).

1057852991 is a wasteful number, since it uses less digits than its factorization.

1057852991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466.

The product of its (nonzero) digits is 226800, while the sum is 47.

The square root of 1057852991 is about 32524.6520504063. The cubic root of 1057852991 is about 1018.9239552598.

The spelling of 1057852991 in words is "one billion, fifty-seven million, eight hundred fifty-two thousand, nine hundred ninety-one".

Divisors: 1 13 269 373 811 3497 4849 10543 100337 218159 302503 1304381 2836067 3932539 81373307 1057852991