Base | Representation |
---|---|
bin | 100000011100011… |
… | …100111101000100 |
3 | 1101221020210202100 |
4 | 200130130331010 |
5 | 2103322021130 |
6 | 130002512100 |
7 | 16326503406 |
oct | 4034347504 |
9 | 1357223670 |
10 | 544329540 |
11 | 25a294927 |
12 | 132365630 |
13 | 88a064b1 |
14 | 52414b76 |
15 | 32bc2c60 |
hex | 2071cf44 |
544329540 has 72 divisors (see below), whose sum is σ = 1656928728. Its totient is φ = 144645120.
The previous prime is 544329529. The next prime is 544329551. The reversal of 544329540 is 45923445.
It is a happy number.
544329540 is a `hidden beast` number, since 54 + 43 + 29 + 540 = 666.
It is an interprime number because it is at equal distance from previous prime (544329529) and next prime (544329551).
It can be written as a sum of positive squares in 4 ways, for example, as 187799616 + 356529924 = 13704^2 + 18882^2 .
It is a super-2 number, since 2×5443295402 = 592589296233223200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 = 544329495 and 544329504.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47580 + ... + 57900.
It is an arithmetic number, because the mean of its divisors is an integer number (23012899).
Almost surely, 2544329540 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 544329540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828464364).
544329540 is an abundant number, since it is smaller than the sum of its proper divisors (1112599188).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
544329540 is a wasteful number, since it uses less digits than its factorization.
544329540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10629 (or 10624 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The square root of 544329540 is about 23330.8709653112. The cubic root of 544329540 is about 816.4958239511.
The spelling of 544329540 in words is "five hundred forty-four million, three hundred twenty-nine thousand, five hundred forty".
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