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57493170 = 23257213037
BaseRepresentation
bin1101101101010…
…0011010110010
311000011221210200
43123110122302
5104204240140
65412140030
71265453400
oct333243262
9130157720
1057493170
112a4a9519
1217307616
13bbacc37
1478c8470
1550aa030
hex36d46b2

57493170 has 72 divisors (see below), whose sum is σ = 173900844. Its totient is φ = 13140288.

The previous prime is 57493159. The next prime is 57493207. The reversal of 57493170 is 7139475.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57471561 + 21609 = 7581^2 + 147^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2109 + ... + 10928.

Almost surely, 257493170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57493170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86950422).

57493170 is an abundant number, since it is smaller than the sum of its proper divisors (116407674).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57493170 is a wasteful number, since it uses less digits than its factorization.

57493170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13064 (or 13054 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 57493170 is about 7582.4250738138. The cubic root of 57493170 is about 385.9568486041.

The spelling of 57493170 in words is "fifty-seven million, four hundred ninety-three thousand, one hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 13037 26074 39111 65185 78222 91259 117333 130370 182518 195555 234666 273777 391110 456295 547554 586665 638813 821331 912590 1173330 1277626 1368885 1642662 1916439 2737770 3194065 3832878 4106655 5749317 6388130 8213310 9582195 11498634 19164390 28746585 57493170