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54439680 = 283514177
BaseRepresentation
bin1100111110101…
…0111100000000
310210102211012110
43033222330000
5102414032210
65222455320
71230505161
oct317527400
9123384173
1054439680
1128803379
1216294540
13b381139
147331768
154ba5420
hex33eaf00

54439680 has 72 divisors (see below), whose sum is σ = 173878992. Its totient is φ = 14516224.

The previous prime is 54439663. The next prime is 54439717. The reversal of 54439680 is 8693445.

54439680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 3249 + ... + 10928.

It is an arithmetic number, because the mean of its divisors is an integer number (2414986).

Almost surely, 254439680 is an apocalyptic number.

It is an amenable number.

54439680 is an abundant number, since it is smaller than the sum of its proper divisors (119439312).

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

54439680 is a wasteful number, since it uses less digits than its factorization.

54439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14201 (or 14187 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 54439680 is about 7378.3250131720. The cubic root of 54439680 is about 378.9993989636. Note that the first 3 decimals are identical.

The spelling of 54439680 in words is "fifty-four million, four hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 14177 28354 42531 56708 70885 85062 113416 141770 170124 212655 226832 283540 340248 425310 453664 567080 680496 850620 907328 1134160 1360992 1701240 1814656 2268320 2721984 3402480 3629312 4536640 5443968 6804960 9073280 10887936 13609920 18146560 27219840 54439680