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542571840 = 26325238191
BaseRepresentation
bin100000010101101…
…111110101000000
31101210221111122100
4200111233311000
52102344244330
6125501110400
716305533046
oct4025576500
91353844570
10542571840
112592a4288
12131858400
138853c435
14520b8396
1532977060
hex2056fd40

542571840 has 168 divisors, whose sum is σ = 1947598848. Its totient is φ = 138378240.

The previous prime is 542571839. The next prime is 542571851. The reversal of 542571840 is 48175245.

542571840 is a `hidden beast` number, since 5 + 4 + 2 + 571 + 84 + 0 = 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 = 542571795 and 542571804.

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 23 ways as a sum of consecutive naturals, for example, 62145 + ... + 70335.

Almost surely, 2542571840 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 542571840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973799424).

542571840 is an abundant number, since it is smaller than the sum of its proper divisors (1405027008).

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

542571840 is a wasteful number, since it uses less digits than its factorization.

542571840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8237 (or 8224 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 542571840 is about 23293.1715315884. The cubic root of 542571840 is about 815.6160246513.

The spelling of 542571840 in words is "five hundred forty-two million, five hundred seventy-one thousand, eight hundred forty".