Base | Representation |
---|---|
bin | 1010001100001100… |
… | …1110000000110110 |
3 | 21001122101022202100 |
4 | 2203003032000312 |
5 | 21100243430123 |
6 | 1131235522530 |
7 | 124534423143 |
oct | 24303160066 |
9 | 7048338670 |
10 | 2735530038 |
11 | 118415422a |
12 | 644159446 |
13 | 347976837 |
14 | 1bd4413ca |
15 | 110252643 |
hex | a30ce036 |
2735530038 has 48 divisors (see below), whose sum is σ = 6172686000. Its totient is φ = 874466880.
The previous prime is 2735530037. The next prime is 2735530051. The reversal of 2735530038 is 8300355372.
2735530038 is a `hidden beast` number, since 2 + 73 + 553 + 0 + 0 + 38 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 2735529984 and 2735530011.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2735530037) by changing a digit.
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, 60193 + ... + 95363.
It is an arithmetic number, because the mean of its divisors is an integer number (128597625).
Almost surely, 22735530038 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2735530038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086343000).
2735530038 is an abundant number, since it is smaller than the sum of its proper divisors (3437155962).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2735530038 is a wasteful number, since it uses less digits than its factorization.
2735530038 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 35357 (or 35354 counting only the distinct ones).
The product of its (nonzero) digits is 75600, while the sum is 36.
The square root of 2735530038 is about 52302.2947680119. The cubic root of 2735530038 is about 1398.5580456160.
The spelling of 2735530038 in words is "two billion, seven hundred thirty-five million, five hundred thirty thousand, thirty-eight".
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