Search a number
-
+
55009746 = 2331128419
BaseRepresentation
bin1101000111011…
…0000111010010
310211111210012000
43101312013102
5103040302441
65243014430
71235401161
oct321660722
9124453160
1055009746
1129062700
121650a416
13b52075c
14743d3d8
154c692b6
hex34761d2

55009746 has 48 divisors (see below), whose sum is σ = 134383200. Its totient is φ = 16667640.

The previous prime is 55009733. The next prime is 55009763. The reversal of 55009746 is 64790055.

55009746 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 55009746.

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 23 ways as a sum of consecutive naturals, for example, 2325 + ... + 10743.

It is an arithmetic number, because the mean of its divisors is an integer number (2799650).

Almost surely, 255009746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55009746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67191600).

55009746 is an abundant number, since it is smaller than the sum of its proper divisors (79373454).

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

55009746 is a wasteful number, since it uses less digits than its factorization.

55009746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8452 (or 8435 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 55009746 is about 7416.8555331758. The cubic root of 55009746 is about 380.3177075220.

It can be divided in two parts, 55009 and 746, that added together give a palindrome (55755).

The spelling of 55009746 in words is "fifty-five million, nine thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 8419 16838 25257 50514 75771 92609 151542 185218 227313 277827 454626 555654 833481 1018699 1666962 2037398 2500443 3056097 5000886 6112194 9168291 18336582 27504873 55009746