Base | Representation |
---|---|
bin | 1001011011110000011000 |
3 | 11122122022000 |
4 | 21123300120 |
5 | 1113113414 |
6 | 125001000 |
7 | 30006603 |
oct | 11336030 |
9 | 4578260 |
10 | 2472984 |
11 | 1439a98 |
12 | 9b3160 |
13 | 687807 |
14 | 48533a |
15 | 33cb09 |
hex | 25bc18 |
2472984 has 48 divisors (see below), whose sum is σ = 6934200. Its totient is φ = 816624.
The previous prime is 2472979. The next prime is 2473019. The reversal of 2472984 is 4892742.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a super-2 number, since 2×24729842 = 12231299728512, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (32256) is a multiple of the sum of its prime divisors (112).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23059 + ... + 23165.
22472984 is an apocalyptic number.
2472984 is a gapful number since it is divisible by the number (24) 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 2472984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467100).
2472984 is an abundant number, since it is smaller than the sum of its proper divisors (4461216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2472984 is a wasteful number, since it uses less digits than its factorization.
2472984 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 229 (or 112 counting only the distinct ones).
The product of its digits is 32256, while the sum is 36.
The square root of 2472984 is about 1572.5724148668. The cubic root of 2472984 is about 135.2302244438.
The spelling of 2472984 in words is "two million, four hundred seventy-two thousand, nine hundred eighty-four".
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