| Base | Representation |
|---|---|
| bin | 1001100011001… |
| … | …0100100100000 |
| 3 | 2210100220102100 |
| 4 | 2120302210200 |
| 5 | 40223144044 |
| 6 | 3550250400 |
| 7 | 664305444 |
| oct | 230624440 |
| 9 | 83326370 |
| 10 | 40053024 |
| 11 | 20677480 |
| 12 | 114b6a00 |
| 13 | 83b4a1b |
| 14 | 5468824 |
| 15 | 37b2869 |
| hex | 2632920 |
40053024 has 144 divisors (see below), whose sum is σ = 127370880. Its totient is φ = 11834880.
The previous prime is 40053019. The next prime is 40053029. The reversal of 40053024 is 42035004.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (40053019) and next prime (40053029).
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 40052988 and 40053006.
It is not an unprimeable number, because it can be changed into a prime (40053029) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148762 + ... + 149030.
It is an arithmetic number, because the mean of its divisors is an integer number (884520).
Almost surely, 240053024 is an apocalyptic number.
40053024 is a gapful number since it is divisible by the number (44) 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 40053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63685440).
40053024 is an abundant number, since it is smaller than the sum of its proper divisors (87317856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40053024 is a wasteful number, since it uses less digits than its factorization.
40053024 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 343 (or 332 counting only the distinct ones).
The product of its (nonzero) digits is 480, while the sum is 18.
The square root of 40053024 is about 6328.7458473224. The cubic root of 40053024 is about 342.1462388856.
Adding to 40053024 its reverse (42035004), we get a palindrome (82088028).
The spelling of 40053024 in words is "forty million, fifty-three thousand, twenty-four".
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