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1057985937 = 321092274751
BaseRepresentation
bin111111000011111…
…001010110010001
32201201210020212100
4333003321112101
54131321022222
6252552151013
735134506051
oct7703712621
92651706770
101057985937
114a3229548
12256398469
1313b2604a8
14a0723561
1562d374ac
hex3f0f9591

1057985937 has 24 divisors (see below), whose sum is σ = 1549342080. Its totient is φ = 695628000.

The previous prime is 1057985869. The next prime is 1057985963. The reversal of 1057985937 is 7395897501.

1057985937 is a `hidden beast` number, since 10 + 579 + 8 + 59 + 3 + 7 = 666.

It is not a de Polignac number, because 1057985937 - 28 = 1057985681 is a prime.

It is a super-3 number, since 3×10579859373 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1057987937) 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 23 ways as a sum of consecutive naturals, for example, 220312 + ... + 225062.

It is an arithmetic number, because the mean of its divisors is an integer number (64555920).

Almost surely, 21057985937 is an apocalyptic number.

It is an amenable number.

1057985937 is a deficient number, since it is larger than the sum of its proper divisors (491356143).

1057985937 is a wasteful number, since it uses less digits than its factorization.

1057985937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The square root of 1057985937 is about 32526.6957590223. The cubic root of 1057985937 is about 1018.9666379989.

The spelling of 1057985937 in words is "one billion, fifty-seven million, nine hundred eighty-five thousand, nine hundred thirty-seven".

Divisors: 1 3 9 109 227 327 681 981 2043 4751 14253 24743 42759 74229 222687 517859 1078477 1553577 3235431 4660731 9706293 117553993 352661979 1057985937