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540644544 = 26341119499
BaseRepresentation
bin100000001110011…
…001010011000000
31101200022120220000
4200032121103000
52101401111134
6125351520000
716253255106
oct4016312300
91350276800
10540644544
112581a8280
12131089000
138801611b
1451b35c76
15326e5e99
hex203994c0

540644544 has 280 divisors, whose sum is σ = 1844040000. Its totient is φ = 154897920.

The previous prime is 540644543. The next prime is 540644561. The reversal of 540644544 is 445446045.

540644544 is a `hidden beast` number, since 5 + 4 + 0 + 644 + 5 + 4 + 4 = 666.

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 = 540644499 and 540644508.

It is not an unprimeable number, because it can be changed into a prime (540644543) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1083207 + ... + 1083705.

Almost surely, 2540644544 is an apocalyptic number.

540644544 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 540644544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922020000).

540644544 is an abundant number, since it is smaller than the sum of its proper divisors (1303395456).

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

540644544 is a wasteful number, since it uses less digits than its factorization.

540644544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 540644544 is about 23251.7643201543. The cubic root of 540644544 is about 814.6491490446.

The spelling of 540644544 in words is "five hundred forty million, six hundred forty-four thousand, five hundred forty-four".