Base | Representation |
---|---|
bin | 1001100111001… |
… | …0101000000000 |
3 | 2210212020022200 |
4 | 2121302220000 |
5 | 40310043032 |
6 | 4000033200 |
7 | 666450405 |
oct | 231625000 |
9 | 83766280 |
10 | 40315392 |
11 | 20836607 |
12 | 11602800 |
13 | 8477280 |
14 | 54d62ac |
15 | 381547c |
hex | 2672a00 |
40315392 has 120 divisors (see below), whose sum is σ = 125489364. Its totient is φ = 12386304.
The previous prime is 40315391. The next prime is 40315393. The reversal of 40315392 is 29351304.
It is an interprime number because it is at equal distance from previous prime (40315391) and next prime (40315393).
It can be written as a sum of positive squares in 2 ways, for example, as 37161216 + 3154176 = 6096^2 + 1776^2 .
It is a super-2 number, since 2×403153922 = 3250661664227328, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40315391) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59568 + ... + 60240.
Almost surely, 240315392 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 40315392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62744682).
40315392 is an abundant number, since it is smaller than the sum of its proper divisors (85173972).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40315392 is a wasteful number, since it uses less digits than its factorization.
40315392 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 710 (or 691 counting only the distinct ones).
The product of its (nonzero) digits is 3240, while the sum is 27.
The square root of 40315392 is about 6349.4402902933. The cubic root of 40315392 is about 342.8916917566.
Adding to 40315392 its reverse (29351304), we get a palindrome (69666696).
The spelling of 40315392 in words is "forty million, three hundred fifteen thousand, three hundred ninety-two".
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