Base | Representation |
---|---|
bin | 1001101000011… |
… | …1101110110000 |
3 | 2211000121220110 |
4 | 2122013232300 |
5 | 40320324330 |
6 | 4001541320 |
7 | 1000260423 |
oct | 232075660 |
9 | 84017813 |
10 | 40401840 |
11 | 20895556 |
12 | 11644840 |
13 | 84a771b |
14 | 55199ba |
15 | 3830db0 |
hex | 2687bb0 |
40401840 has 80 divisors (see below), whose sum is σ = 127063296. Its totient is φ = 10617600.
The previous prime is 40401839. The next prime is 40401857. The reversal of 40401840 is 4810404.
40401840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (80).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15855 + ... + 18225.
Almost surely, 240401840 is an apocalyptic number.
40401840 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 40401840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63531648).
40401840 is an abundant number, since it is smaller than the sum of its proper divisors (86661456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40401840 is a wasteful number, since it uses less digits than its factorization.
40401840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2458 (or 2452 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 21.
The square root of 40401840 is about 6356.2441740386. The cubic root of 40401840 is about 343.1366035008.
The spelling of 40401840 in words is "forty million, four hundred one thousand, eight hundred forty".
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