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57832074 = 23223163857
BaseRepresentation
bin1101110010011…
…1001010001010
311000211011200200
43130213022022
5104301111244
65423313030
71301364426
oct334471212
9130734620
1057832074
112a710103
121744b776
13bc9b281
147975b86
155125669
hex372728a

57832074 has 48 divisors (see below), whose sum is σ = 131706432. Its totient is φ = 18304704.

The previous prime is 57832069. The next prime is 57832091. The reversal of 57832074 is 47023875.

57832074 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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, 67054 + ... + 67910.

It is an arithmetic number, because the mean of its divisors is an integer number (2743884).

Almost surely, 257832074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57832074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65853216).

57832074 is an abundant number, since it is smaller than the sum of its proper divisors (73874358).

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

57832074 is a wasteful number, since it uses less digits than its factorization.

57832074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 57832074 is about 7604.7402322499. The cubic root of 57832074 is about 386.7137277572.

The spelling of 57832074 in words is "fifty-seven million, eight hundred thirty-two thousand, seventy-four".

Divisors: 1 2 3 6 9 18 23 46 69 138 163 207 326 414 489 857 978 1467 1714 2571 2934 3749 5142 7498 7713 11247 15426 19711 22494 33741 39422 59133 67482 118266 139691 177399 279382 354798 419073 838146 1257219 2514438 3212893 6425786 9638679 19277358 28916037 57832074