Base | Representation |
---|---|
bin | 1001100111001… |
… | …0101011111100 |
3 | 2210212020200000 |
4 | 2121302223330 |
5 | 40310100034 |
6 | 4000034300 |
7 | 666451215 |
oct | 231625374 |
9 | 83766600 |
10 | 40315644 |
11 | 20836816 |
12 | 11602990 |
13 | 8477415 |
14 | 54d640c |
15 | 3815599 |
hex | 2672afc |
40315644 has 144 divisors (see below), whose sum is σ = 116188800. Its totient is φ = 12177216.
The previous prime is 40315631. The next prime is 40315657. The reversal of 40315644 is 44651304.
40315644 is a `hidden beast` number, since 4 + 0 + 3 + 15 + 644 = 666.
It is an interprime number because it is at equal distance from previous prime (40315631) and next prime (40315657).
It is a super-2 number, since 2×403156442 = 3250702302269472, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 683287 + ... + 683345.
Almost surely, 240315644 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 40315644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58094400).
40315644 is an abundant number, since it is smaller than the sum of its proper divisors (75873156).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40315644 is a wasteful number, since it uses less digits than its factorization.
40315644 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 134 (or 120 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 40315644 is about 6349.4601345311. The cubic root of 40315644 is about 342.8924061944.
Adding to 40315644 its reverse (44651304), we get a palindrome (84966948).
The spelling of 40315644 in words is "forty million, three hundred fifteen thousand, six hundred forty-four".
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