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54389280 = 25351110301
BaseRepresentation
bin1100111101111…
…0101000100000
310210100021001210
43033132220200
5102410424110
65221430120
71230205221
oct317365040
9123307053
1054389280
1128779520
121626b340
13b36420a
14731b248
154b95520
hex33dea20

54389280 has 96 divisors (see below), whose sum is σ = 186919488. Its totient is φ = 13184000.

The previous prime is 54389263. The next prime is 54389299. The reversal of 54389280 is 8298345.

It is a happy number.

54389280 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 (96).

It is a congruent number.

It is an unprimeable number.

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, 130 + ... + 10430.

It is an arithmetic number, because the mean of its divisors is an integer number (1947078).

Almost surely, 254389280 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 54389280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93459744).

54389280 is an abundant number, since it is smaller than the sum of its proper divisors (132530208).

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

54389280 is a wasteful number, since it uses less digits than its factorization.

54389280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10330 (or 10322 counting only the distinct ones).

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

The square root of 54389280 is about 7374.9088129956. The cubic root of 54389280 is about 378.8824042307.

The spelling of 54389280 in words is "fifty-four million, three hundred eighty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 10301 20602 30903 41204 51505 61806 82408 103010 113311 123612 154515 164816 206020 226622 247224 309030 329632 339933 412040 453244 494448 566555 618060 679866 824080 906488 988896 1133110 1236120 1359732 1648160 1699665 1812976 2266220 2472240 2719464 3399330 3625952 4532440 4944480 5438928 6798660 9064880 10877856 13597320 18129760 27194640 54389280