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545218336 = 25132181557
BaseRepresentation
bin100000011111110…
…101111100100000
31101222220221221201
4200133311330200
52104033441321
6130033530544
716340164555
oct4037657440
91358827851
10545218336
1125a841673
12132713a54
1388c57c00
14525a6a2c
1532ceb291
hex207f5f20

545218336 has 72 divisors (see below), whose sum is σ = 1170839124. Its totient is φ = 249799680.

The previous prime is 545218309. The next prime is 545218337. The reversal of 545218336 is 633812545.

545218336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 18974736 + 526243600 = 4356^2 + 22940^2 .

It is a junction number, because it is equal to n+sod(n) for n = 545218295 and 545218304.

It is not an unprimeable number, because it can be changed into a prime (545218337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 978570 + ... + 979126.

Almost surely, 2545218336 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 545218336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585419562).

545218336 is an abundant number, since it is smaller than the sum of its proper divisors (625620788).

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

545218336 is a wasteful number, since it uses less digits than its factorization.

545218336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 753 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 545218336 is about 23349.9108349475. The cubic root of 545218336 is about 816.9399811188.

The spelling of 545218336 in words is "five hundred forty-five million, two hundred eighteen thousand, three hundred thirty-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 181 208 338 362 416 557 676 724 1114 1352 1448 2228 2353 2704 2896 4456 4706 5408 5792 7241 8912 9412 14482 17824 18824 28964 30589 37648 57928 61178 75296 94133 100817 115856 122356 188266 201634 231712 244712 376532 403268 489424 753064 806536 978848 1310621 1506128 1613072 2621242 3012256 3226144 5242484 10484968 17038073 20969936 34076146 41939872 68152292 136304584 272609168 545218336