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542483136 = 263313193141
BaseRepresentation
bin100000010101011…
…010001011000000
31101210202222222000
4200111122023000
52102333430021
6125455144000
716305013326
oct4025321300
91353688860
10542483136
11259243678
12131815000
138850ac50
1452093d16
153295ab26
hex2055a2c0

542483136 has 448 divisors, whose sum is σ = 1911705600. Its totient is φ = 149299200.

The previous prime is 542483131. The next prime is 542483153. The reversal of 542483136 is 631384245.

542483136 is a `hidden beast` number, since 5 + 42 + 483 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 542483136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542483131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13231276 + ... + 13231316.

It is an arithmetic number, because the mean of its divisors is an integer number (4267200).

Almost surely, 2542483136 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 542483136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955852800).

542483136 is an abundant number, since it is smaller than the sum of its proper divisors (1369222464).

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

542483136 is a wasteful number, since it uses less digits than its factorization.

542483136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 542483136 is about 23291.2673764224. The cubic root of 542483136 is about 815.5715744105.

The spelling of 542483136 in words is "five hundred forty-two million, four hundred eighty-three thousand, one hundred thirty-six".