Search a number
-
+
57828078 = 23271123793
BaseRepresentation
bin1101110010011…
…0001011101110
311000210222012200
43130212023232
5104300444303
65423242330
71301346660
oct334461356
9130728180
1057828078
112a708100
12174493a6
13bc994c9
147974530
1551243a3
hex37262ee

57828078 has 72 divisors (see below), whose sum is σ = 157435824. Its totient is φ = 15016320.

The previous prime is 57828047. The next prime is 57828103. The reversal of 57828078 is 87082875.

It is a happy number.

57828078 is a `hidden beast` number, since 578 + 2 + 8 + 0 + 78 = 666.

It is a congruent number.

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, 13350 + ... + 17142.

Almost surely, 257828078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57828078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78717912).

57828078 is an abundant number, since it is smaller than the sum of its proper divisors (99607746).

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

57828078 is a wasteful number, since it uses less digits than its factorization.

57828078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The square root of 57828078 is about 7604.4774968436. The cubic root of 57828078 is about 386.7048206835.

The spelling of 57828078 in words is "fifty-seven million, eight hundred twenty-eight thousand, seventy-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 3793 5082 7586 7623 11379 15246 22758 26551 34137 41723 53102 68274 79653 83446 125169 159306 238959 250338 292061 375507 458953 477918 584122 751014 876183 917906 1376859 1752366 2628549 2753718 3212671 4130577 5257098 6425342 8261154 9638013 19276026 28914039 57828078