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54839280 = 24351713441
BaseRepresentation
bin1101000100110…
…0011111110000
310211012010100110
43101030133300
5103014324110
65235221320
71234061166
oct321143760
9124163313
1054839280
1128a56621
1216447840
13b490ca2
1473d7236
154c33a20
hex344c7f0

54839280 has 80 divisors (see below), whose sum is σ = 180015264. Its totient is φ = 13762560.

The previous prime is 54839251. The next prime is 54839287. The reversal of 54839280 is 8293845.

It is a happy number.

54839280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54839287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2641 + ... + 10800.

Almost surely, 254839280 is an apocalyptic number.

It is an amenable number.

54839280 is an abundant number, since it is smaller than the sum of its proper divisors (125175984).

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

54839280 is a wasteful number, since it uses less digits than its factorization.

54839280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13474 (or 13468 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 54839280 is about 7405.3548193182. The cubic root of 54839280 is about 379.9244540495.

The spelling of 54839280 in words is "fifty-four million, eight hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 13441 26882 40323 53764 67205 80646 107528 134410 161292 201615 215056 228497 268820 322584 403230 456994 537640 645168 685491 806460 913988 1075280 1142485 1370982 1612920 1827976 2284970 2741964 3225840 3427455 3655952 4569940 5483928 6854910 9139880 10967856 13709820 18279760 27419640 54839280