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4482816 = 28313449
BaseRepresentation
bin10001000110011100000000
322102202021020
4101012130000
52121422231
6240025440
753050302
oct21063400
98382236
104482816
112592008
121602280
13c0c570
14849972
155d8396
hex446700

4482816 has 72 divisors (see below), whose sum is σ = 12877200. Its totient is φ = 1376256.

The previous prime is 4482799. The next prime is 4482839. The reversal of 4482816 is 6182844.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9760 + ... + 10208.

It is an arithmetic number, because the mean of its divisors is an integer number (178850).

Almost surely, 24482816 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 4482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6438600).

4482816 is an abundant number, since it is smaller than the sum of its proper divisors (8394384).

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

4482816 is a wasteful number, since it uses less digits than its factorization.

4482816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 467 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 4482816 is about 2117.2661618228. The cubic root of 4482816 is about 164.8859450537.

It can be divided in two parts, 44828 and 16, that added together give a palindrome (44844).

The spelling of 4482816 in words is "four million, four hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 449 624 768 832 898 1248 1347 1664 1796 2496 2694 3328 3592 4992 5388 5837 7184 9984 10776 11674 14368 17511 21552 23348 28736 35022 43104 46696 57472 70044 86208 93392 114944 140088 172416 186784 280176 344832 373568 560352 747136 1120704 1494272 2241408 4482816