Base | Representation |
---|---|
bin | 101100101001… |
… | …0011110100000 |
3 | 1122001011200021 |
4 | 1121102132200 |
5 | 21443001441 |
6 | 2153403224 |
7 | 402644341 |
oct | 131223640 |
9 | 48034607 |
10 | 23406496 |
11 | 12237713 |
12 | 7a09514 |
13 | 4b06ac9 |
14 | 31740c8 |
15 | 20c53d1 |
hex | 16527a0 |
23406496 has 48 divisors (see below), whose sum is σ = 48349224. Its totient is φ = 11142144.
The previous prime is 23406473. The next prime is 23406511. The reversal of 23406496 is 69460432.
It can be written as a sum of positive squares in 4 ways, for example, as 23386896 + 19600 = 4836^2 + 140^2 .
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 62566 + ... + 62938.
Almost surely, 223406496 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 23406496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24174612).
23406496 is an abundant number, since it is smaller than the sum of its proper divisors (24942728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23406496 is a wasteful number, since it uses less digits than its factorization.
23406496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 473 (or 465 counting only the distinct ones).
The product of its (nonzero) digits is 31104, while the sum is 34.
The square root of 23406496 is about 4838.0260437497. The cubic root of 23406496 is about 286.0523157268.
It can be divided in two parts, 2340 and 6496, that added together give a square (8836 = 942).
The spelling of 23406496 in words is "twenty-three million, four hundred six thousand, four hundred ninety-six".
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