Search a number
-
+
57428784 = 2433722713
BaseRepresentation
bin1101101100010…
…0101100110000
311000001200111000
43123010230300
5104200210114
65410522000
71265064600
oct333045460
9130050430
1057428784
112a465106
1217296300
13bb8983a
1478acc00
155095e09
hex36c4b30

57428784 has 120 divisors (see below), whose sum is σ = 191825520. Its totient is φ = 16402176.

The previous prime is 57428759. The next prime is 57428801. The reversal of 57428784 is 48782475.

57428784 is a `hidden beast` number, since 574 + 2 + 8 + 78 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19812 + ... + 22524.

It is an arithmetic number, because the mean of its divisors is an integer number (1598546).

Almost surely, 257428784 is an apocalyptic number.

57428784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57428784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95912760).

57428784 is an abundant number, since it is smaller than the sum of its proper divisors (134396736).

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

57428784 is a wasteful number, since it uses less digits than its factorization.

57428784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2725 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 57428784 is about 7578.1781451745. The cubic root of 57428784 is about 385.8127184408.

The spelling of 57428784 in words is "fifty-seven million, four hundred twenty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 2713 3024 3528 5292 5426 7056 8139 10584 10852 16278 18991 21168 21704 24417 32556 37982 43408 48834 56973 65112 73251 75964 97668 113946 130224 132937 146502 151928 170919 195336 227892 265874 293004 303856 341838 390672 398811 455784 512757 531748 586008 683676 797622 911568 1025514 1063496 1172016 1196433 1367352 1595244 2051028 2126992 2392866 2734704 3190488 3589299 4102056 4785732 6380976 7178598 8204112 9571464 14357196 19142928 28714392 57428784