Base | Representation |
---|---|
bin | 111100110111111… |
… | …1000000101100000 |
3 | 12021100111111201000 |
4 | 1321233320011200 |
5 | 13140400444012 |
6 | 534403512000 |
7 | 101421521322 |
oct | 17157700540 |
9 | 5240444630 |
10 | 2042593632 |
11 | 958a99912 |
12 | 490088600 |
13 | 26723b5b1 |
14 | 1553c5612 |
15 | be4c7ddc |
hex | 79bf8160 |
2042593632 has 96 divisors (see below), whose sum is σ = 6271171200. Its totient is φ = 645024384.
The previous prime is 2042593603. The next prime is 2042593643. The reversal of 2042593632 is 2363952402.
It is a happy number.
2042593632 is a `hidden beast` number, since 2 + 0 + 4 + 2 + 593 + 63 + 2 = 666.
2042593632 is digitally balanced in base 4, 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 (96).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
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, 45798 + ... + 78629.
It is an arithmetic number, because the mean of its divisors is an integer number (65324700).
Almost surely, 22042593632 is an apocalyptic number.
It is an amenable number.
2042593632 is an abundant number, since it is smaller than the sum of its proper divisors (4228577568).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2042593632 is a wasteful number, since it uses less digits than its factorization.
2042593632 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 124465 (or 124451 counting only the distinct ones).
The product of its (nonzero) digits is 77760, while the sum is 36.
The square root of 2042593632 is about 45195.0620311556. The cubic root of 2042593632 is about 1268.8023992466.
The spelling of 2042593632 in words is "two billion, forty-two million, five hundred ninety-three thousand, six hundred thirty-two".
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