Search a number
-
+
54403776 = 26327103131
BaseRepresentation
bin1100111110001…
…0001011000000
310210100222221200
43033202023000
5102411410101
65222021200
71230265410
oct317421300
9123328850
1054403776
11287893a9
1216277800
13b36a9ab
147322640
154b99986
hex33e22c0

54403776 has 168 divisors, whose sum is σ = 181319424. Its totient is φ = 15275520.

The previous prime is 54403709. The next prime is 54403787. The reversal of 54403776 is 67730445.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 54403776.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 415231 + ... + 415361.

Almost surely, 254403776 is an apocalyptic number.

54403776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54403776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90659712).

54403776 is an abundant number, since it is smaller than the sum of its proper divisors (126915648).

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

54403776 is a wasteful number, since it uses less digits than its factorization.

54403776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 54403776 is about 7375.8915393327. The cubic root of 54403776 is about 378.9160615462.

It can be divided in two parts, 5440 and 3776, that added together give a square (9216 = 962).

The spelling of 54403776 in words is "fifty-four million, four hundred three thousand, seven hundred seventy-six".