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4582240 = 255132203
BaseRepresentation
bin10001011110101101100000
322121210122121
4101132231200
52133112430
6242114024
753643205
oct21365540
98553577
104582240
11264a783
12164b914
13c458b0
14873cac
15607a7a
hex45eb60

4582240 has 48 divisors (see below), whose sum is σ = 11663568. Its totient is φ = 1691136.

The previous prime is 4582229. The next prime is 4582241. The reversal of 4582240 is 422854.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4582241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 979 + ... + 3181.

It is an arithmetic number, because the mean of its divisors is an integer number (242991).

Almost surely, 24582240 is an apocalyptic number.

4582240 is a gapful number since it is divisible by the number (40) 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 4582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831784).

4582240 is an abundant number, since it is smaller than the sum of its proper divisors (7081328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4582240 is a wasteful number, since it uses less digits than its factorization.

4582240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231 (or 2223 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 4582240 is about 2140.6167335607. The cubic root of 4582240 is about 166.0960396496.

The spelling of 4582240 in words is "four million, five hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 2203 4406 8812 11015 17624 22030 28639 35248 44060 57278 70496 88120 114556 143195 176240 229112 286390 352480 458224 572780 916448 1145560 2291120 4582240