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1057845937 is a prime number
BaseRepresentation
bin111111000011010…
…111001010110001
32201201112010211011
4333003113022301
54131302032222
6252545150521
735133353641
oct7703271261
92651463734
101057845937
114a3143345
1225632b441
1313b211855
14a06c8521
1562d0ac77
hex3f0d72b1

1057845937 has 2 divisors, whose sum is σ = 1057845938. Its totient is φ = 1057845936.

The previous prime is 1057845907. The next prime is 1057845949. The reversal of 1057845937 is 7395487501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 573889936 + 483956001 = 23956^2 + 21999^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057845937 is a prime.

It is a super-2 number, since 2×10578459372 = 2238076052854815938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057845907) 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 as a sum of consecutive naturals, namely, 528922968 + 528922969.

It is an arithmetic number, because the mean of its divisors is an integer number (528922969).

Almost surely, 21057845937 is an apocalyptic number.

It is an amenable number.

1057845937 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057845937 is an equidigital number, since it uses as much as digits as its factorization.

1057845937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1058400, while the sum is 49.

The square root of 1057845937 is about 32524.5436094037. The cubic root of 1057845937 is about 1018.9216904506.

The spelling of 1057845937 in words is "one billion, fifty-seven million, eight hundred forty-five thousand, nine hundred thirty-seven".