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4480164 = 2233133191
BaseRepresentation
bin10001000101110010100100
322102121122000
4101011302210
52121331124
6240005300
753036463
oct21056244
98377560
104480164
112590017
121600830
13c0b2b0
148489da
155d76c9
hex445ca4

4480164 has 48 divisors (see below), whose sum is σ = 12512640. Its totient is φ = 1378080.

The previous prime is 4480153. The next prime is 4480183. The reversal of 4480164 is 4610844.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 2999.

It is an arithmetic number, because the mean of its divisors is an integer number (260680).

Almost surely, 24480164 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 4480164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6256320).

4480164 is an abundant number, since it is smaller than the sum of its proper divisors (8032476).

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

4480164 is a wasteful number, since it uses less digits than its factorization.

4480164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3217 (or 3209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4480164 is about 2116.6397898556. The cubic root of 4480164 is about 164.8534235475.

It can be divided in two parts, 44 and 80164, that added together give a palindrome (80208).

The spelling of 4480164 in words is "four million, four hundred eighty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 3191 6382 9573 12764 19146 28719 38292 41483 57438 82966 86157 114876 124449 165932 172314 248898 344628 373347 497796 746694 1120041 1493388 2240082 4480164