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57740085 = 32513891109
BaseRepresentation
bin1101110001000…
…0101100110101
311000122111111200
43130100230311
5104240140320
65421323113
71300532304
oct334205465
9130574450
1057740085
112a657a87
1217406499
13bc68440
14795043b
155108290
hex3710b35

57740085 has 48 divisors (see below), whose sum is σ = 109090800. Its totient is φ = 28081152.

The previous prime is 57740071. The next prime is 57740087. The reversal of 57740085 is 58004775.

57740085 is a `hidden beast` number, since 577 + 4 + 0 + 0 + 85 = 666.

57740085 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 8 ways, for example, as 27468081 + 30272004 = 5241^2 + 5502^2 .

It is not a de Polignac number, because 57740085 - 215 = 57707317 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57740087) 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 47 ways as a sum of consecutive naturals, for example, 51511 + ... + 52619.

It is an arithmetic number, because the mean of its divisors is an integer number (2272725).

Almost surely, 257740085 is an apocalyptic number.

It is an amenable number.

57740085 is a deficient number, since it is larger than the sum of its proper divisors (51350715).

57740085 is a wasteful number, since it uses less digits than its factorization.

57740085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1219 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 57740085 is about 7598.6896896768. The cubic root of 57740085 is about 386.5085804251.

The spelling of 57740085 in words is "fifty-seven million, seven hundred forty thousand, eighty-five".

Divisors: 1 3 5 9 13 15 39 45 65 89 117 195 267 445 585 801 1109 1157 1335 3327 3471 4005 5545 5785 9981 10413 14417 16635 17355 43251 49905 52065 72085 98701 129753 216255 296103 493505 648765 888309 1283113 1480515 3849339 4441545 6415565 11548017 19246695 57740085