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57918 = 2372197
BaseRepresentation
bin1110001000111110
32221110010
432020332
53323133
61124050
7330600
oct161076
987403
1057918
113a573
1229626
1320493
1417170
1512263
hexe23e

57918 has 24 divisors (see below), whose sum is σ = 135432. Its totient is φ = 16464.

The previous prime is 57917. The next prime is 57923. The reversal of 57918 is 81975.

It can be divided in two parts, 57 and 918, that multiplied together give a triangular number (52326 = T323).

It is the 39-th Perrin number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 392.

It is an arithmetic number, because the mean of its divisors is an integer number (5643).

257918 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57918, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67716).

57918 is an abundant number, since it is smaller than the sum of its proper divisors (77514).

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

57918 is a wasteful number, since it uses less digits than its factorization.

57918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 57918 is about 240.6615881274. The cubic root of 57918 is about 38.6905157404.

The spelling of 57918 in words is "fifty-seven thousand, nine hundred eighteen".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 197 294 394 591 1182 1379 2758 4137 8274 9653 19306 28959 57918