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54685280 = 2551361431
BaseRepresentation
bin1101000010011…
…0111001100000
310210220022002202
43100212321200
5102444412110
65232032332
71232550206
oct320467140
9123808082
1054685280
1128960951
12163926a8
13b438b70
147397076
154c030a5
hex3426e60

54685280 has 96 divisors (see below), whose sum is σ = 141740928. Its totient is φ = 19814400.

The previous prime is 54685259. The next prime is 54685289. The reversal of 54685280 is 8258645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54685289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126665 + ... + 127095.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 254685280 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 54685280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70870464).

54685280 is an abundant number, since it is smaller than the sum of its proper divisors (87055648).

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

54685280 is a wasteful number, since it uses less digits than its factorization.

54685280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 38.

The square root of 54685280 is about 7394.9496279556. The cubic root of 54685280 is about 379.5684852416.

The spelling of 54685280 in words is "fifty-four million, six hundred eighty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 61 65 80 104 122 130 160 208 244 260 305 416 431 488 520 610 793 862 976 1040 1220 1586 1724 1952 2080 2155 2440 3172 3448 3965 4310 4880 5603 6344 6896 7930 8620 9760 11206 12688 13792 15860 17240 22412 25376 26291 28015 31720 34480 44824 52582 56030 63440 68960 89648 105164 112060 126880 131455 179296 210328 224120 262910 341783 420656 448240 525820 683566 841312 896480 1051640 1367132 1708915 2103280 2734264 3417830 4206560 5468528 6835660 10937056 13671320 27342640 54685280