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54410048 = 2671161181
BaseRepresentation
bin1100111110001…
…1101101000000
310210101022112222
43033203231000
5102412110143
65222110212
71230322610
oct317435500
9123338488
1054410048
1128793090
121627b368
13b3707c4
147324a40
154b9b768
hex33e3b40

54410048 has 112 divisors (see below), whose sum is σ = 137574528. Its totient is φ = 20736000.

The previous prime is 54409997. The next prime is 54410051. The reversal of 54410048 is 84001445.

54410048 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 (112).

It is a junction number, because it is equal to n+sod(n) for n = 54409999 and 54410026.

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, 300518 + ... + 300698.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 254410048 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 54410048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68787264).

54410048 is an abundant number, since it is smaller than the sum of its proper divisors (83164480).

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

54410048 is a wasteful number, since it uses less digits than its factorization.

54410048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 54410048 is about 7376.3166960211. The cubic root of 54410048 is about 378.9306222403.

The spelling of 54410048 in words is "fifty-four million, four hundred ten thousand, forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 154 176 181 224 244 308 352 362 427 448 488 616 671 704 724 854 976 1232 1267 1342 1448 1708 1952 1991 2464 2534 2684 2896 3416 3904 3982 4697 4928 5068 5368 5792 6832 7964 9394 10136 10736 11041 11584 13664 13937 15928 18788 20272 21472 22082 27328 27874 31856 37576 40544 42944 44164 55748 63712 75152 77287 81088 88328 111496 121451 127424 150304 154574 176656 222992 242902 300608 309148 353312 445984 485804 618296 706624 850157 891968 971608 1236592 1700314 1943216 2473184 3400628 3886432 4946368 6801256 7772864 13602512 27205024 54410048