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57668274 = 236371069
BaseRepresentation
bin1101101111111…
…1001010110010
311000111212000000
43123333022302
5104230341044
65420010430
71300113036
oct333771262
9130455000
1057668274
112a609034
1217390a16
13bc41851
1479321c6
1550e1d69
hex36ff2b2

57668274 has 56 divisors (see below), whose sum is σ = 133324140. Its totient is φ = 18685728.

The previous prime is 57668257. The next prime is 57668297. The reversal of 57668274 is 47286675.

57668274 is a `hidden beast` number, since 576 + 6 + 8 + 2 + 74 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 55130625 + 2537649 = 7425^2 + 1593^2 .

It is a super-2 number, since 2×576682742 = 6651259652278152, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 53412 + ... + 54480.

Almost surely, 257668274 is an apocalyptic number.

57668274 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57668274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66662070).

57668274 is an abundant number, since it is smaller than the sum of its proper divisors (75655866).

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

57668274 is a wasteful number, since it uses less digits than its factorization.

57668274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1111 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 57668274 is about 7593.9629970128. The cubic root of 57668274 is about 386.3482811454.

The spelling of 57668274 in words is "fifty-seven million, six hundred sixty-eight thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 729 999 1069 1458 1998 2138 2997 3207 5994 6414 8991 9621 17982 19242 26973 28863 39553 53946 57726 79106 86589 118659 173178 237318 259767 355977 519534 711954 779301 1067931 1558602 2135862 3203793 6407586 9611379 19222758 28834137 57668274