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55004430 = 23513219571
BaseRepresentation
bin1101000111010…
…0110100001110
310211111111220010
43101310310032
5103040120210
65242534050
71235346525
oct321646416
9124444803
1055004430
1129059708
1216507326
13b51b200
14743b4bc
154c67920
hex3474d0e

55004430 has 96 divisors (see below), whose sum is σ = 150733440. Its totient is φ = 12804480.

The previous prime is 55004419. The next prime is 55004437. The reversal of 55004430 is 3440055.

It is a happy number.

55004430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 55004397 and 55004406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55004437) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 96045 + ... + 96615.

It is an arithmetic number, because the mean of its divisors is an integer number (1570140).

Almost surely, 255004430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55004430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75366720).

55004430 is an abundant number, since it is smaller than the sum of its proper divisors (95729010).

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

55004430 is a wasteful number, since it uses less digits than its factorization.

55004430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 21.

The square root of 55004430 is about 7416.4971516208. The cubic root of 55004430 is about 380.3054561532.

Adding to 55004430 its reverse (3440055), we get a palindrome (58444485).

The spelling of 55004430 in words is "fifty-five million, four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 169 190 195 247 285 338 390 494 507 570 571 741 845 1014 1142 1235 1482 1690 1713 2470 2535 2855 3211 3426 3705 5070 5710 6422 7410 7423 8565 9633 10849 14846 16055 17130 19266 21698 22269 32110 32547 37115 44538 48165 54245 65094 74230 96330 96499 108490 111345 141037 162735 192998 222690 282074 289497 325470 423111 482495 578994 705185 846222 964990 1410370 1447485 1833481 2115555 2894970 3666962 4231110 5500443 9167405 11000886 18334810 27502215 55004430