Base | Representation |
---|---|
bin | 1001100111110… |
… | …1010111001111 |
3 | 2210221110122200 |
4 | 2121331113033 |
5 | 40313000000 |
6 | 4001012543 |
7 | 1000022550 |
oct | 231752717 |
9 | 83843580 |
10 | 40359375 |
11 | 20866661 |
12 | 11624153 |
13 | 84912b4 |
14 | 5508327 |
15 | 3823500 |
hex | 267d5cf |
40359375 has 84 divisors (see below), whose sum is σ = 85311408. Its totient is φ = 18000000.
The previous prime is 40359373. The next prime is 40359383. The reversal of 40359375 is 57395304.
It is not a de Polignac number, because 40359375 - 21 = 40359373 is a prime.
It is a super-3 number, since 3×403593753 (a number of 24 digits) contains 333 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40359373) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 984355 + ... + 984395.
It is an arithmetic number, because the mean of its divisors is an integer number (1015612).
It is a vampire number, since it can be written as 4305 ⋅ 9375 (with its own digits).
Almost surely, 240359375 is an apocalyptic number.
40359375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.
40359375 is an abundant number, since it is smaller than the sum of its proper divisors (44952033).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40359375 is an frugal number, since it uses more digits than its factorization.
40359375 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 84 (or 56 counting only the distinct ones).
The product of its (nonzero) digits is 56700, while the sum is 36.
The square root of 40359375 is about 6352.9028797865. The cubic root of 40359375 is about 343.0163416184.
The spelling of 40359375 in words is "forty million, three hundred fifty-nine thousand, three hundred seventy-five".
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