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55726944 = 2537136379
BaseRepresentation
bin1101010010010…
…1001101100000
310212212012222220
43110211031200
5103231230234
65310231040
71244446140
oct324451540
9125765886
1055726944
1129502529
12167b5480
13b712030
147588920
154d5ba49
hex3525360

55726944 has 96 divisors (see below), whose sum is σ = 180069120. Its totient is φ = 14694912.

The previous prime is 55726919. The next prime is 55726949. The reversal of 55726944 is 44962755.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 55726896 and 55726905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55726949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5547 + ... + 11925.

It is an arithmetic number, because the mean of its divisors is an integer number (1875720).

Almost surely, 255726944 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 55726944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90034560).

55726944 is an abundant number, since it is smaller than the sum of its proper divisors (124342176).

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

55726944 is a wasteful number, since it uses less digits than its factorization.

55726944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6412 (or 6404 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 55726944 is about 7465.0481579157. The cubic root of 55726944 is about 381.9633929633.

The spelling of 55726944 in words is "fifty-five million, seven hundred twenty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 6379 8736 12758 19137 25516 38274 44653 51032 76548 82927 89306 102064 133959 153096 165854 178612 204128 248781 267918 306192 331708 357224 497562 535836 580489 612384 663416 714448 995124 1071672 1160978 1326832 1428896 1741467 1990248 2143344 2321956 2653664 3482934 3980496 4286688 4643912 6965868 7960992 9287824 13931736 18575648 27863472 55726944