Search a number
-
+
57246168 = 2337418311
BaseRepresentation
bin1101101001100…
…0000111011000
310222201101222110
43122120013120
5104123334133
65402552320
71263404310
oct332300730
9128641873
1057246168
112a34a991
12172086a0
13bb24695
147862440
15505bc63
hex36981d8

57246168 has 64 divisors (see below), whose sum is σ = 167569920. Its totient is φ = 15955200.

The previous prime is 57246151. The next prime is 57246193. The reversal of 57246168 is 86164275.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2733 + ... + 11043.

It is an arithmetic number, because the mean of its divisors is an integer number (2618280).

Almost surely, 257246168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57246168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83784960).

57246168 is an abundant number, since it is smaller than the sum of its proper divisors (110323752).

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

57246168 is a wasteful number, since it uses less digits than its factorization.

57246168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8368 (or 8364 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 57246168 is about 7566.1197452856. The cubic root of 57246168 is about 385.4033395979.

The spelling of 57246168 in words is "fifty-seven million, two hundred forty-six thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 8311 16622 24933 33244 49866 58177 66488 99732 116354 174531 199464 232708 340751 349062 465416 681502 698124 1022253 1363004 1396248 2044506 2385257 2726008 4089012 4770514 7155771 8178024 9541028 14311542 19082056 28623084 57246168