Base | Representation |
---|---|
bin | 1001100110010… |
… | …0111010100000 |
3 | 2210202101021200 |
4 | 2121210322200 |
5 | 40301243412 |
6 | 3554521200 |
7 | 666124566 |
oct | 231447240 |
9 | 83671250 |
10 | 40259232 |
11 | 207a83a2 |
12 | 11596200 |
13 | 8457840 |
14 | 54bda36 |
15 | 38039dc |
hex | 2664ea0 |
40259232 has 72 divisors (see below), whose sum is σ = 123305364. Its totient is φ = 12386304.
The previous prime is 40259227. The next prime is 40259237. The reversal of 40259232 is 23295204.
40259232 is a `hidden beast` number, since 40 + 2 + 592 + 32 = 666.
It is an interprime number because it is at equal distance from previous prime (40259227) and next prime (40259237).
It can be written as a sum of positive squares in 2 ways, for example, as 39992976 + 266256 = 6324^2 + 516^2 .
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×402592322 = 3241611522459648, which contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 40259196 and 40259205.
It is not an unprimeable number, because it can be changed into a prime (40259237) 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 11 ways as a sum of consecutive naturals, for example, 1633 + ... + 9120.
Almost surely, 240259232 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 40259232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61652682).
40259232 is an abundant number, since it is smaller than the sum of its proper divisors (83046132).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40259232 is a wasteful number, since it uses less digits than its factorization.
40259232 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10782 (or 10771 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 40259232 is about 6345.0163120358. The cubic root of 40259232 is about 342.7323998579.
The spelling of 40259232 in words is "forty million, two hundred fifty-nine thousand, two hundred thirty-two".
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