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55011924 = 223211273173
BaseRepresentation
bin1101000111011…
…0101001010100
310211111220011200
43101312221110
5103040340144
65243032500
71235410422
oct321665124
9124456150
1055011924
1129064300
121650b730
13b521746
147440112
154c69c69
hex3476a54

55011924 has 108 divisors (see below), whose sum is σ = 155838228. Its totient is φ = 16346880.

The previous prime is 55011911. The next prime is 55011959. The reversal of 55011924 is 42911055.

55011924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41835024 + 13176900 = 6468^2 + 3630^2 .

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 35 ways as a sum of consecutive naturals, for example, 317902 + ... + 318074.

Almost surely, 255011924 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 55011924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77919114).

55011924 is an abundant number, since it is smaller than the sum of its proper divisors (100826304).

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

55011924 is a wasteful number, since it uses less digits than its factorization.

55011924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 55011924 is about 7417.0023594441. The cubic root of 55011924 is about 380.3227267601.

Adding to 55011924 its reverse (42911055), we get a palindrome (97922979).

The spelling of 55011924 in words is "fifty-five million, eleven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 73 99 121 132 146 173 198 219 242 292 346 363 396 438 484 519 657 692 726 803 876 1038 1089 1314 1452 1557 1606 1903 2076 2178 2409 2628 3114 3212 3806 4356 4818 5709 6228 7227 7612 8833 9636 11418 12629 14454 17127 17666 20933 22836 25258 26499 28908 34254 35332 37887 41866 50516 52998 62799 68508 75774 79497 83732 105996 113661 125598 138919 151548 158994 188397 227322 251196 277838 317988 376794 416757 454644 555676 753588 833514 1250271 1528109 1667028 2500542 3056218 4584327 5001084 6112436 9168654 13752981 18337308 27505962 55011924