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57858073 = 7213611489
BaseRepresentation
bin1101110010110…
…1100000011001
311000212111100121
43130231200121
5104302424243
65424033241
71301533300
oct334554031
9130774317
1057858073
112a728699
1217462821
13bcaa060
147981437
15512d1ed
hex372d819

57858073 has 24 divisors (see below), whose sum is σ = 73719240. Its totient is φ = 44997120.

The previous prime is 57858071. The next prime is 57858077. The reversal of 57858073 is 37085875.

57858073 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3732624 + 54125449 = 1932^2 + 7357^2 .

It is not a de Polignac number, because 57858073 - 21 = 57858071 is a prime.

It is a super-2 number, since 2×578580732 = 6695113222546658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57858071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38113 + ... + 39601.

It is an arithmetic number, because the mean of its divisors is an integer number (3071635).

Almost surely, 257858073 is an apocalyptic number.

It is an amenable number.

57858073 is a deficient number, since it is larger than the sum of its proper divisors (15861167).

57858073 is a wasteful number, since it uses less digits than its factorization.

57858073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The square root of 57858073 is about 7606.4494345259. The cubic root of 57858073 is about 386.7716694451.

The spelling of 57858073 in words is "fifty-seven million, eight hundred fifty-eight thousand, seventy-three".

Divisors: 1 7 13 49 61 91 427 637 793 1489 2989 5551 10423 19357 38857 72961 90829 135499 635803 948493 1180777 4450621 8265439 57858073