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4482080 = 255109257
BaseRepresentation
bin10001000110010000100000
322102201020222
4101012100200
52121411310
6240022212
753045201
oct21062040
98381228
104482080
1125914a9
121601968
13c0c125
148495a8
155d8055
hex446420

4482080 has 48 divisors (see below), whose sum is σ = 10727640. Its totient is φ = 1769472.

The previous prime is 4482059. The next prime is 4482091. The reversal of 4482080 is 802844.

It can be written as a sum of positive squares in 4 ways, for example, as 4477456 + 4624 = 2116^2 + 68^2 .

It is a super-2 number, since 2×44820802 = 40178082252800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17312 + ... + 17568.

Almost surely, 24482080 is an apocalyptic number.

4482080 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 4482080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5363820).

4482080 is an abundant number, since it is smaller than the sum of its proper divisors (6245560).

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

4482080 is a wasteful number, since it uses less digits than its factorization.

4482080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 4482080 is about 2117.0923456477. The cubic root of 4482080 is about 164.8769207635.

The spelling of 4482080 in words is "four million, four hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 218 257 436 514 545 872 1028 1090 1285 1744 2056 2180 2570 3488 4112 4360 5140 8224 8720 10280 17440 20560 28013 41120 56026 112052 140065 224104 280130 448208 560260 896416 1120520 2241040 4482080