Base | Representation |
---|---|
bin | 101100110001… |
… | …1010110100000 |
3 | 1122011200111021 |
4 | 1121203112200 |
5 | 22002204431 |
6 | 2155055224 |
7 | 403353013 |
oct | 131432640 |
9 | 48150437 |
10 | 23475616 |
11 | 1228463a |
12 | 7a41514 |
13 | 4b2c3c8 |
14 | 319137a |
15 | 20dab11 |
hex | 16635a0 |
23475616 has 48 divisors (see below), whose sum is σ = 49056840. Its totient is φ = 11038720.
The previous prime is 23475601. The next prime is 23475629. The reversal of 23475616 is 61657432.
It is a happy number.
It can be written as a sum of positive squares in 4 ways, for example, as 7507600 + 15968016 = 2740^2 + 3996^2 .
It is a super-2 number, since 2×234756162 = 1102209093158912, which contains 22 as substring.
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, 37740 + ... + 38356.
Almost surely, 223475616 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 23475616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24528420).
23475616 is an abundant number, since it is smaller than the sum of its proper divisors (25581224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
23475616 is a wasteful number, since it uses less digits than its factorization.
23475616 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 697 (or 689 counting only the distinct ones).
The product of its digits is 30240, while the sum is 34.
The square root of 23475616 is about 4845.1641871045. The cubic root of 23475616 is about 286.3336123603. Note that the first 3 decimals are identical.
The spelling of 23475616 in words is "twenty-three million, four hundred seventy-five thousand, six hundred sixteen".
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