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542519640 = 2333513172273
BaseRepresentation
bin100000010101100…
…011000101011000
31101210211212001000
4200111203011120
52102341112030
6125500025000
716305224625
oct4025430530
91353755030
10542519640
11259269043
12131832160
1388521750
14520a334c
1532966860
hex20563158

542519640 has 256 divisors, whose sum is σ = 2062972800. Its totient is φ = 125632512.

The previous prime is 542519629. The next prime is 542519741. The reversal of 542519640 is 46915245.

542519640 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 1 + 9 + 640 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 542519595 and 542519604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 237544 + ... + 239816.

Almost surely, 2542519640 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 542519640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031486400).

542519640 is an abundant number, since it is smaller than the sum of its proper divisors (1520453160).

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

542519640 is a wasteful number, since it uses less digits than its factorization.

542519640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 542519640 is about 23292.0510045809. The cubic root of 542519640 is about 815.5898674258.

The spelling of 542519640 in words is "five hundred forty-two million, five hundred nineteen thousand, six hundred forty".