Base | Representation |
---|---|
bin | 100001000010110… |
… | …111100100100000 |
3 | 1102122012102212112 |
4 | 201002313210200 |
5 | 2113411300112 |
6 | 131002414452 |
7 | 16511215424 |
oct | 4102674440 |
9 | 1378172775 |
10 | 554400032 |
11 | 264a42a4a |
12 | 135801428 |
13 | 8ab21174 |
14 | 538b6b84 |
15 | 33a11a22 |
hex | 210b7920 |
554400032 has 96 divisors (see below), whose sum is σ = 1184730624. Its totient is φ = 254822400.
The previous prime is 554400023. The next prime is 554400037. The reversal of 554400032 is 230004455.
It is a junction number, because it is equal to n+sod(n) for n = 554399980 and 554400007.
It is not an unprimeable number, because it can be changed into a prime (554400037) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 1748738 + ... + 1749054.
It is an arithmetic number, because the mean of its divisors is an integer number (12340944).
Almost surely, 2554400032 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 554400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592365312).
554400032 is an abundant number, since it is smaller than the sum of its proper divisors (630330592).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
554400032 is a wasteful number, since it uses less digits than its factorization.
554400032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 442 (or 434 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 23.
The square root of 554400032 is about 23545.7009239479. The cubic root of 554400032 is about 821.5003426006.
Adding to 554400032 its reverse (230004455), we get a palindrome (784404487).
The spelling of 554400032 in words is "five hundred fifty-four million, four hundred thousand, thirty-two".
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