Base | Representation |
---|---|
bin | 1001011010001010100000 |
3 | 11122022100112 |
4 | 21122022200 |
5 | 1112411324 |
6 | 124510452 |
7 | 26651600 |
oct | 11321240 |
9 | 4568315 |
10 | 2466464 |
11 | 1435100 |
12 | 9ab428 |
13 | 684860 |
14 | 482c00 |
15 | 33ac0e |
hex | 25a2a0 |
2466464 has 108 divisors (see below), whose sum is σ = 6686442. Its totient is φ = 887040.
The previous prime is 2466463. The next prime is 2466473. The reversal of 2466464 is 4646642.
It can be written as a sum of positive squares in only one way, i.e., 2371600 + 94864 = 1540^2 + 308^2 .
It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (32).
It is a self number, because there is not a number n which added to its sum of digits gives 2466464.
It is not an unprimeable number, because it can be changed into a prime (2466463) by changing a digit.
It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 189722 + ... + 189734.
22466464 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 2466464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3343221).
2466464 is an abundant number, since it is smaller than the sum of its proper divisors (4219978).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2466464 is a wasteful number, since it uses less digits than its factorization.
2466464 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 59 (or 33 counting only the distinct ones).
The product of its digits is 27648, while the sum is 32.
The square root of 2466464 is about 1570.4980101866. The cubic root of 2466464 is about 135.1112754243. Note that the first 3 decimals are identical.
2466464 divided by its sum of digits (32) gives a palindrome (77077).
The spelling of 2466464 in words is "two million, four hundred sixty-six thousand, four hundred sixty-four".
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