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544942080 = 21136573
BaseRepresentation
bin100000011110110…
…010100000000000
31101222101221000000
4200132302200000
52104001121310
6130024000000
716334634264
oct4036624000
91358357000
10544942080
1125a673061
12132600000
1388b8c247
14525340a4
1532c944c0
hex207b2800

544942080 has 336 divisors, whose sum is σ = 1987270740. Its totient is φ = 143327232.

The previous prime is 544942067. The next prime is 544942081. The reversal of 544942080 is 80249445.

544942080 is a `hidden beast` number, since 5 + 449 + 4 + 208 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 544195584 + 746496 = 23328^2 + 864^2 .

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

It is not an unprimeable number, because it can be changed into a prime (544942081) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7464924 + ... + 7464996.

Almost surely, 2544942080 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 544942080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993635370).

544942080 is an abundant number, since it is smaller than the sum of its proper divisors (1442328660).

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

544942080 is an frugal number, since it uses more digits than its factorization.

544942080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 544942080 is about 23343.9945167917. The cubic root of 544942080 is about 816.8019797076.

The spelling of 544942080 in words is "five hundred forty-four million, nine hundred forty-two thousand, eighty".