Base | Representation |
---|---|
bin | 100011000001… |
… | …1110000100000 |
3 | 1021120001200200 |
4 | 1012003300200 |
5 | 14200143342 |
6 | 1453345200 |
7 | 312050436 |
oct | 106036040 |
9 | 37501620 |
10 | 18365472 |
11 | a404284 |
12 | 6198200 |
13 | 3a60458 |
14 | 2620d56 |
15 | 192b94c |
hex | 1183c20 |
18365472 has 72 divisors (see below), whose sum is σ = 53477424. Its totient is φ = 5975424.
The previous prime is 18365471. The next prime is 18365509. The reversal of 18365472 is 27456381.
18365472 is a `hidden beast` number, since 183 + 6 + 5 + 472 = 666.
It is a tau number, because it is divible by the number of its divisors (72).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an alternating number because its digits alternate between odd and even.
It is not an unprimeable number, because it can be changed into a prime (18365471) 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, 11643 + ... + 13125.
It is an arithmetic number, because the mean of its divisors is an integer number (742742).
Almost surely, 218365472 is an apocalyptic number.
18365472 is a gapful number since it is divisible by the number (12) 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 18365472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26738712).
18365472 is an abundant number, since it is smaller than the sum of its proper divisors (35111952).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
18365472 is a wasteful number, since it uses less digits than its factorization.
18365472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1542 (or 1531 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 18365472 is about 4285.4955372745. The cubic root of 18365472 is about 263.8359862795.
Subtracting 18365472 from its reverse (27456381), we obtain a palindrome (9090909).
The spelling of 18365472 in words is "eighteen million, three hundred sixty-five thousand, four hundred seventy-two".
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