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4482640 = 245137409
BaseRepresentation
bin10001000110011001010000
322102202000201
4101012121100
52121421030
6240024544
753046631
oct21063120
98382021
104482640
112591968
121602154
13c0c466
14849888
155d82ca
hex446650

4482640 has 40 divisors (see below), whose sum is σ = 10523880. Its totient is φ = 1775616.

The previous prime is 4482637. The next prime is 4482641. The reversal of 4482640 is 462844.

It can be written as a sum of positive squares in 4 ways, for example, as 1468944 + 3013696 = 1212^2 + 1736^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×44826402 = 40188122739200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4482599 and 4482608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4482641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10756 + ... + 11164.

It is an arithmetic number, because the mean of its divisors is an integer number (263097).

Almost surely, 24482640 is an apocalyptic number.

4482640 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 4482640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5261940).

4482640 is an abundant number, since it is smaller than the sum of its proper divisors (6041240).

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

4482640 is a wasteful number, since it uses less digits than its factorization.

4482640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 4482640 is about 2117.2245983835. The cubic root of 4482640 is about 164.8837871611.

The spelling of 4482640 in words is "four million, four hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 409 548 685 818 1096 1370 1636 2045 2192 2740 3272 4090 5480 6544 8180 10960 16360 32720 56033 112066 224132 280165 448264 560330 896528 1120660 2241320 4482640