Base | Representation |
---|---|
bin | 1111101000111000… |
… | …0110011111000000 |
3 | 101211120021112011211 |
4 | 3322032012133000 |
5 | 32044142004301 |
6 | 1532321415504 |
7 | 206013262510 |
oct | 37216063700 |
9 | 11746245154 |
10 | 4198000576 |
11 | 1864730a70 |
12 | 991a9a594 |
13 | 51b958913 |
14 | 2bb775840 |
15 | 198837051 |
hex | fa3867c0 |
4198000576 has 112 divisors (see below), whose sum is σ = 10450202112. Its totient is φ = 1625472000.
The previous prime is 4198000559. The next prime is 4198000579. The reversal of 4198000576 is 6750008914.
4198000576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (4198000579) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820426 + ... + 825526.
It is an arithmetic number, because the mean of its divisors is an integer number (93305376).
Almost surely, 24198000576 is an apocalyptic number.
4198000576 is the 37408-th octagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 4198000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225101056).
4198000576 is an abundant number, since it is smaller than the sum of its proper divisors (6252201536).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4198000576 is a wasteful number, since it uses less digits than its factorization.
4198000576 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5298 (or 5288 counting only the distinct ones).
The product of its (nonzero) digits is 60480, while the sum is 40.
The square root of 4198000576 is about 64791.9792566950. The cubic root of 4198000576 is about 1613.1725793581.
The spelling of 4198000576 in words is "four billion, one hundred ninety-eight million, five hundred seventy-six", and thus it is an aban number.
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