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542535552 = 273213172131
BaseRepresentation
bin100000010101100…
…110111110000000
31101210212122212100
4200111212332000
52102342114202
6125500230400
716305322206
oct4025467600
91353778770
10542535552
11259279a99
1213183b400
1388528a70
14520a9076
153296b41c
hex20566f80

542535552 has 192 divisors, whose sum is σ = 1781030160. Its totient is φ = 157040640.

The previous prime is 542535527. The next prime is 542535563. The reversal of 542535552 is 255535245.

542535552 is a `hidden beast` number, since 54 + 2 + 53 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 253527 + ... + 255657.

Almost surely, 2542535552 is an apocalyptic number.

542535552 is a gapful number since it is divisible by the number (52) 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 542535552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890515080).

542535552 is an abundant number, since it is smaller than the sum of its proper divisors (1238494608).

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

542535552 is a wasteful number, since it uses less digits than its factorization.

542535552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181 (or 2166 counting only the distinct ones).

The product of its digits is 150000, while the sum is 36.

The square root of 542535552 is about 23292.3925778354. The cubic root of 542535552 is about 815.5978410475.

The spelling of 542535552 in words is "five hundred forty-two million, five hundred thirty-five thousand, five hundred fifty-two".