Search a number
-
+
544874040 = 23355291933
BaseRepresentation
bin100000011110100…
…001111000111000
31101222021110200000
4200132201320320
52103441432130
6130022313000
716334232024
oct4036417070
91358243600
10544874040
1125a626a27
12132588760
1388b67299
1452517384
1532c7e260
hex207a1e38

544874040 has 192 divisors, whose sum is σ = 1900735200. Its totient is φ = 140216832.

The previous prime is 544874009. The next prime is 544874059. The reversal of 544874040 is 40478445.

544874040 is a `hidden beast` number, since 544 + 8 + 74 + 0 + 40 = 666.

It is a super-3 number, since 3×5448740403 (a number of 27 digits) contains 333 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 = 544873986 and 544874004.

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 47 ways as a sum of consecutive naturals, for example, 280914 + ... + 282846.

Almost surely, 2544874040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544874040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (950367600).

544874040 is an abundant number, since it is smaller than the sum of its proper divisors (1355861160).

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

544874040 is a wasteful number, since it uses less digits than its factorization.

544874040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1988 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 544874040 is about 23342.5371371666. The cubic root of 544874040 is about 816.7679837278.

The spelling of 544874040 in words is "five hundred forty-four million, eight hundred seventy-four thousand, forty".