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542744064 = 293423569
BaseRepresentation
bin100000010110011…
…001111000000000
31101211021020220000
4200112121320000
52102420302224
6125504520000
716310151132
oct4026317000
91354236800
10542744064
11259401715
12131920000
138859c945
1452121052
15329ad0c9
hex20599e00

542744064 has 200 divisors, whose sum is σ = 1693351440. Its totient is φ = 172744704.

The previous prime is 542744047. The next prime is 542744089. The reversal of 542744064 is 460447245.

542744064 is a `hidden beast` number, since 542 + 74 + 40 + 6 + 4 = 666.

It is a super-2 number, since 2×5427440642 = 589142238014472192, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 953572 + ... + 954140.

Almost surely, 2542744064 is an apocalyptic number.

542744064 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 542744064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846675720).

542744064 is an abundant number, since it is smaller than the sum of its proper divisors (1150607376).

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

542744064 is an equidigital number, since it uses as much as digits as its factorization.

542744064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 542744064 is about 23296.8681156931. The cubic root of 542744064 is about 815.7023135590.

The spelling of 542744064 in words is "five hundred forty-two million, seven hundred forty-four thousand, sixty-four".