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57985993 = 1329374157
BaseRepresentation
bin1101110100110…
…0101111001001
311001002222211101
43131030233021
5104321022433
65430501401
71302605242
oct335145711
9131088741
1057985993
112a80580a
1217504861
13c023350
1479b5cc9
15515607d
hex374cbc9

57985993 has 16 divisors (see below), whose sum is σ = 66361680. Its totient is φ = 50270976.

The previous prime is 57985987. The next prime is 57986009. The reversal of 57985993 is 39958975.

It can be written as a sum of positive squares in 8 ways, for example, as 28224 + 57957769 = 168^2 + 7613^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57985993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (57985943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11871 + ... + 16027.

It is an arithmetic number, because the mean of its divisors is an integer number (4147605).

Almost surely, 257985993 is an apocalyptic number.

It is an amenable number.

57985993 is a deficient number, since it is larger than the sum of its proper divisors (8375687).

57985993 is a wasteful number, since it uses less digits than its factorization.

57985993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4236.

The product of its digits is 3061800, while the sum is 55.

The square root of 57985993 is about 7614.8534457335. The cubic root of 57985993 is about 387.0565009971.

The spelling of 57985993 in words is "fifty-seven million, nine hundred eighty-five thousand, nine hundred ninety-three".

Divisors: 1 13 29 37 377 481 1073 4157 13949 54041 120553 153809 1567189 1999517 4460461 57985993