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54439008 = 25313181241
BaseRepresentation
bin1100111110101…
…0110001100000
310210102210021120
43033222301200
5102414022013
65222452240
71230503211
oct317526140
9123383246
1054439008
1128802918
1216294080
13b380a40
147331408
154ba5123
hex33eac60

54439008 has 96 divisors (see below), whose sum is σ = 155387232. Its totient is φ = 16588800.

The previous prime is 54438997. The next prime is 54439013. The reversal of 54439008 is 80093445.

54439008 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 self number, because there is not a number n which added to its sum of digits gives 54439008.

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, 225768 + ... + 226008.

It is an arithmetic number, because the mean of its divisors is an integer number (1618617).

Almost surely, 254439008 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 54439008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77693616).

54439008 is an abundant number, since it is smaller than the sum of its proper divisors (100948224).

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

54439008 is a wasteful number, since it uses less digits than its factorization.

54439008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 54439008 is about 7378.2794742406. The cubic root of 54439008 is about 378.9978395089.

The spelling of 54439008 in words is "fifty-four million, four hundred thirty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 181 208 241 312 362 416 482 543 624 723 724 964 1086 1248 1446 1448 1928 2172 2353 2892 2896 3133 3856 4344 4706 5784 5792 6266 7059 7712 8688 9399 9412 11568 12532 14118 17376 18798 18824 23136 25064 28236 37596 37648 43621 50128 56472 75192 75296 87242 100256 112944 130863 150384 174484 225888 261726 300768 348968 523452 567073 697936 1046904 1134146 1395872 1701219 2093808 2268292 3402438 4187616 4536584 6804876 9073168 13609752 18146336 27219504 54439008