| Base | Representation |
|---|---|
| bin | 1001100010011… |
| … | …0101100110000 |
| 3 | 2210021102201110 |
| 4 | 2120212230300 |
| 5 | 40220120100 |
| 6 | 3545233320 |
| 7 | 664013622 |
| oct | 230465460 |
| 9 | 83242643 |
| 10 | 40004400 |
| 11 | 20643997 |
| 12 | 11492840 |
| 13 | 8398857 |
| 14 | 5454c12 |
| 15 | 37a3250 |
| hex | 2626b30 |
40004400 has 240 divisors, whose sum is σ = 141981984. Its totient is φ = 9584640.
The previous prime is 40004399. The next prime is 40004407. The reversal of 40004400 is 440004.
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (12).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
40004400 is a modest number, since divided by 4400 gives 4000 as remainder.
It is not an unprimeable number, because it can be changed into a prime (40004407) by changing a digit.
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 47 ways as a sum of consecutive naturals, for example, 754774 + ... + 754826.
Almost surely, 240004400 is an apocalyptic number.
40004400 is a gapful number since it is divisible by the number (40) 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 40004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70990992).
40004400 is an abundant number, since it is smaller than the sum of its proper divisors (101977584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40004400 is a wasteful number, since it uses less digits than its factorization.
40004400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 117 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 12.
The square root of 40004400 is about 6324.9031613140. The cubic root of 40004400 is about 342.0077286992.
Adding to 40004400 its reverse (440004), we get a palindrome (40444404).
It can be divided in two parts, 40004 and 400, that added together give a palindrome (40404).
The spelling of 40004400 in words is "forty million, four thousand, four hundred".
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