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542624544 = 253271124469
BaseRepresentation
bin100000010101111…
…100101100100000
31101211001011221100
4200111330230200
52102402441134
6125502154400
716306142520
oct4025745440
91354034840
10542624544
1125932a940
12131882a00
138855a417
14520cd680
1532987999
hex2057cb20

542624544 has 144 divisors (see below), whose sum is σ = 1923929280. Its totient is φ = 140935680.

The previous prime is 542624521. The next prime is 542624557. The reversal of 542624544 is 445426245.

542624544 is a `hidden beast` number, since 54 + 2 + 62 + 4 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 542624499 and 542624508.

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, 9942 + ... + 34410.

It is an arithmetic number, because the mean of its divisors is an integer number (13360620).

Almost surely, 2542624544 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 542624544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961964640).

542624544 is an abundant number, since it is smaller than the sum of its proper divisors (1381304736).

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

542624544 is a wasteful number, since it uses less digits than its factorization.

542624544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24503 (or 24492 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 542624544 is about 23294.3028227934. The cubic root of 542624544 is about 815.6424327273.

The spelling of 542624544 in words is "five hundred forty-two million, six hundred twenty-four thousand, five hundred forty-four".