Base | Representation |
---|---|
bin | 11101101011101101000 |
3 | 1211102020000 |
4 | 3231131220 |
5 | 222111043 |
6 | 32503000 |
7 | 11160465 |
oct | 3553550 |
9 | 1742200 |
10 | 972648 |
11 | 604846 |
12 | 3aaa60 |
13 | 280941 |
14 | 1b466c |
15 | 1432d3 |
hex | ed768 |
972648 has 80 divisors (see below), whose sum is σ = 2904000. Its totient is φ = 303264.
The previous prime is 972637. The next prime is 972649. The reversal of 972648 is 846279.
972648 is a `hidden beast` number, since 9 + 7 + 2 + 648 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 972648.
It is not an unprimeable number, because it can be changed into a prime (972649) by changing a digit.
972648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12273 + ... + 12351.
It is an arithmetic number, because the mean of its divisors is an integer number (36300).
2972648 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 972648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1452000).
972648 is an abundant number, since it is smaller than the sum of its proper divisors (1931352).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
972648 is a wasteful number, since it uses less digits than its factorization.
972648 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 116 (or 103 counting only the distinct ones).
The product of its digits is 24192, while the sum is 36.
The square root of 972648 is about 986.2291822898. The cubic root of 972648 is about 99.0798254252.
The spelling of 972648 in words is "nine hundred seventy-two thousand, six hundred forty-eight".
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