Search a number
-
+
55109754 = 2337314703
BaseRepresentation
bin1101001000111…
…0100001111010
310211200212101000
43102032201322
5103102003004
65245105430
71236265560
oct322164172
9124625330
1055109754
1129120857
1216558276
13b55712b
147467a30
154c88c39
hex348e87a

55109754 has 64 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 15234480.

The previous prime is 55109749. The next prime is 55109777. The reversal of 55109754 is 45790155.

55109754 is a `hidden beast` number, since 5 + 510 + 97 + 54 = 666.

55109754 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon 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 31 ways as a sum of consecutive naturals, for example, 9367 + ... + 14069.

It is an arithmetic number, because the mean of its divisors is an integer number (2257920).

Almost surely, 255109754 is an apocalyptic number.

55109754 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55109754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

55109754 is an abundant number, since it is smaller than the sum of its proper divisors (89397126).

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

55109754 is a wasteful number, since it uses less digits than its factorization.

55109754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4752 (or 4746 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 55109754 is about 7423.5944124124. The cubic root of 55109754 is about 380.5480411759.

The spelling of 55109754 in words is "fifty-five million, one hundred nine thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 4703 5859 9406 11718 14109 28218 32921 42327 65842 84654 98763 126981 145793 197526 253962 291586 296289 437379 592578 874758 888867 1020551 1312137 1777734 2041102 2624274 3061653 3936411 6123306 7872822 9184959 18369918 27554877 55109754