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1057046397 = 311232575419
BaseRepresentation
bin111111000000010…
…011111101111101
32201200000112001120
4333000103331331
54131100441042
6252520101153
735123513631
oct7700237575
92650015046
101057046397
114a2747670
122560047b9
1313acc1954
14a055adc1
1562beddec
hex3f013f7d

1057046397 has 32 divisors (see below), whose sum is σ = 1610910720. Its totient is φ = 610283520.

The previous prime is 1057046387. The next prime is 1057046447. The reversal of 1057046397 is 7936407501.

It is not a de Polignac number, because 1057046397 - 24 = 1057046381 is a prime.

It is a super-2 number, since 2×10570463972 = 2234694170821363218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057046387) 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 31 ways as a sum of consecutive naturals, for example, 192354 + ... + 197772.

It is an arithmetic number, because the mean of its divisors is an integer number (50340960).

Almost surely, 21057046397 is an apocalyptic number.

It is an amenable number.

1057046397 is a deficient number, since it is larger than the sum of its proper divisors (553864323).

1057046397 is a wasteful number, since it uses less digits than its factorization.

1057046397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5713.

The product of its (nonzero) digits is 158760, while the sum is 42.

The square root of 1057046397 is about 32512.2499529024. The cubic root of 1057046397 is about 1018.6649189764.

It can be divided in two parts, 105704 and 6397, that added together give a triangular number (112101 = T473).

The spelling of 1057046397 in words is "one billion, fifty-seven million, forty-six thousand, three hundred ninety-seven".

Divisors: 1 3 11 23 33 69 253 257 759 771 2827 5419 5911 8481 16257 17733 59609 65021 124637 178827 195063 373911 1371007 1392683 4113021 4178049 15319513 32031709 45958539 96095127 352348799 1057046397