Base | Representation |
---|---|
bin | 1001100010101… |
… | …1011110000000 |
3 | 2210022102112000 |
4 | 2120223132000 |
5 | 40221231221 |
6 | 3545504000 |
7 | 664124601 |
oct | 230533600 |
9 | 83272460 |
10 | 40023936 |
11 | 20657637 |
12 | 114a2000 |
13 | 83a4704 |
14 | 545bda8 |
15 | 37a8e26 |
hex | 262b780 |
40023936 has 128 divisors (see below), whose sum is σ = 121706400. Its totient is φ = 12939264.
The previous prime is 40023917. The next prime is 40023941. The reversal of 40023936 is 63932004.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
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 15 ways as a sum of consecutive naturals, for example, 127716 + ... + 128028.
Almost surely, 240023936 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 40023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60853200).
40023936 is an abundant number, since it is smaller than the sum of its proper divisors (81682464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40023936 is a wasteful number, since it uses less digits than its factorization.
40023936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 373 (or 355 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 27.
The square root of 40023936 is about 6326.4473442842. The cubic root of 40023936 is about 342.0633923733.
It can be divided in two parts, 400 and 23936, that added together give a square (24336 = 1562).
The spelling of 40023936 in words is "forty million, twenty-three thousand, nine hundred thirty-six".
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