Base | Representation |
---|---|
bin | 1000011000001… |
… | …1110100000000 |
3 | 2110010110000100 |
4 | 2012003310000 |
5 | 32444033122 |
6 | 3253122400 |
7 | 604465320 |
oct | 206036400 |
9 | 73113010 |
10 | 35142912 |
11 | 18923432 |
12 | b929400 |
13 | 7385b2c |
14 | 494b280 |
15 | 3142aac |
hex | 2183d00 |
35142912 has 108 divisors (see below), whose sum is σ = 115853920. Its totient is φ = 10036224.
The previous prime is 35142901. The next prime is 35142917. The reversal of 35142912 is 21924153.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (35142917) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15039 + ... + 17217.
Almost surely, 235142912 is an apocalyptic number.
35142912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 35142912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57926960).
35142912 is an abundant number, since it is smaller than the sum of its proper divisors (80711008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
35142912 is a wasteful number, since it uses less digits than its factorization.
35142912 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2208 (or 2191 counting only the distinct ones).
The product of its digits is 2160, while the sum is 27.
The square root of 35142912 is about 5928.1457471962. The cubic root of 35142912 is about 327.5512403558.
The spelling of 35142912 in words is "thirty-five million, one hundred forty-two thousand, nine hundred twelve".
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