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54585856 = 291359139
BaseRepresentation
bin1101000000111…
…0101000000000
310210201020201101
43100032220000
5102433221411
65225544144
71231654303
oct320165000
9123636641
1054585856
11288a3186
1216345054
13b402830
14736cb3a
154bd38c1
hex340ea00

54585856 has 80 divisors (see below), whose sum is σ = 120304800. Its totient is φ = 24588288.

The previous prime is 54585851. The next prime is 54585857. The reversal of 54585856 is 65858545.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54585851) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 392635 + ... + 392773.

It is an arithmetic number, because the mean of its divisors is an integer number (1503810).

Almost surely, 254585856 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 54585856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60152400).

54585856 is an abundant number, since it is smaller than the sum of its proper divisors (65718944).

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

54585856 is a wasteful number, since it uses less digits than its factorization.

54585856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its digits is 960000, while the sum is 46.

The square root of 54585856 is about 7388.2241438657. The cubic root of 54585856 is about 379.3383129358.

The spelling of 54585856 in words is "fifty-four million, five hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 139 208 236 256 278 416 472 512 556 767 832 944 1112 1534 1664 1807 1888 2224 3068 3328 3614 3776 4448 6136 6656 7228 7552 8201 8896 12272 14456 15104 16402 17792 24544 28912 30208 32804 35584 49088 57824 65608 71168 98176 106613 115648 131216 196352 213226 231296 262432 392704 426452 462592 524864 852904 925184 1049728 1705808 2099456 3411616 4198912 6823232 13646464 27292928 54585856