Base | Representation |
---|---|
bin | 101101010110… |
… | …1010010000000 |
3 | 1122202001212200 |
4 | 1122231102000 |
5 | 22041402212 |
6 | 2205353200 |
7 | 406053606 |
oct | 132552200 |
9 | 48661780 |
10 | 23778432 |
11 | 124710a7 |
12 | 7b68800 |
13 | 4c071a2 |
14 | 322d876 |
15 | 214a6dc |
hex | 16ad480 |
23778432 has 48 divisors (see below), whose sum is σ = 68428230. Its totient is φ = 7925760.
The previous prime is 23778431. The next prime is 23778467. The reversal of 23778432 is 23487732.
It can be written as a sum of positive squares in only one way, i.e., 22810176 + 968256 = 4776^2 + 984^2 .
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-3 number, since 3×237784323 (a number of 23 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (23778431) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9169 + ... + 11472.
Almost surely, 223778432 is an apocalyptic number.
It is an amenable number.
23778432 is an abundant number, since it is smaller than the sum of its proper divisors (44649798).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23778432 is a wasteful number, since it uses less digits than its factorization.
23778432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 20661 (or 20646 counting only the distinct ones).
The product of its digits is 56448, while the sum is 36.
The square root of 23778432 is about 4876.3133615468. The cubic root of 23778432 is about 287.5595118139.
The spelling of 23778432 in words is "twenty-three million, seven hundred seventy-eight thousand, four hundred thirty-two".
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