Search a number
-
+
54190944 = 253623101
BaseRepresentation
bin1100111010111…
…0001101100000
310202222012000000
43032232031200
5102333102234
65213300000
71225421043
oct316561540
9122865000
1054190944
1128653505
1216194600
13b2c4b62
1472a8c5a
154b56899
hex33ae360

54190944 has 168 divisors, whose sum is σ = 168566832. Its totient is φ = 17107200.

The previous prime is 54190933. The next prime is 54190973. The reversal of 54190944 is 44909145.

It is a happy number.

54190944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×541909442 = 5873316823222272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 54190899 and 54190908.

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 27 ways as a sum of consecutive naturals, for example, 536494 + ... + 536594.

It is an arithmetic number, because the mean of its divisors is an integer number (1003374).

Almost surely, 254190944 is an apocalyptic number.

54190944 is a gapful number since it is divisible by the number (54) 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 54190944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84283416).

54190944 is an abundant number, since it is smaller than the sum of its proper divisors (114375888).

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

54190944 is a wasteful number, since it uses less digits than its factorization.

54190944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54190944 is about 7361.4498571953. The cubic root of 54190944 is about 378.4212989753.

The spelling of 54190944 in words is "fifty-four million, one hundred ninety thousand, nine hundred forty-four".