Base | Representation |
---|---|
bin | 100000010110000… |
… | …010101011000000 |
3 | 1101211002102112000 |
4 | 200112002223000 |
5 | 2102404232044 |
6 | 125502504000 |
7 | 16306304061 |
oct | 4026025300 |
9 | 1354072460 |
10 | 542649024 |
11 | 259347275 |
12 | 131895000 |
13 | 885685c8 |
14 | 520d8568 |
15 | 3298ed69 |
hex | 20582ac0 |
542649024 has 112 divisors (see below), whose sum is σ = 1618122240. Its totient is φ = 178295040.
The previous prime is 542648999. The next prime is 542649049. The reversal of 542649024 is 420946245.
542649024 is a `hidden beast` number, since 5 + 4 + 2 + 649 + 0 + 2 + 4 = 666.
It is an interprime number because it is at equal distance from previous prime (542648999) and next prime (542649049).
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 542649024.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120477 + ... + 124899.
It is an arithmetic number, because the mean of its divisors is an integer number (14447520).
Almost surely, 2542649024 is an apocalyptic number.
542649024 is a gapful number since it is divisible by the number (54) 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 542649024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809061120).
542649024 is an abundant number, since it is smaller than the sum of its proper divisors (1075473216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
542649024 is a wasteful number, since it uses less digits than its factorization.
542649024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4515 (or 4499 counting only the distinct ones).
The product of its (nonzero) digits is 69120, while the sum is 36.
The square root of 542649024 is about 23294.8282672356. The cubic root of 542649024 is about 815.6546981920.
The spelling of 542649024 in words is "five hundred forty-two million, six hundred forty-nine thousand, twenty-four".
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