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4464640 = 2135109
BaseRepresentation
bin10001000010000000000000
322101211100001
4101002000000
52120332030
6235405344
752643305
oct21020000
98354301
104464640
11257a394
1215b3854
13c041cb
148430ac
155d2cca
hex442000

4464640 has 56 divisors (see below), whose sum is σ = 10812780. Its totient is φ = 1769472.

The previous prime is 4464623. The next prime is 4464641. The reversal of 4464640 is 464644.

It can be written as a sum of positive squares in 2 ways, for example, as 4460544 + 4096 = 2112^2 + 64^2 .

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 4464599 and 4464608.

It is not an unprimeable number, because it can be changed into a prime (4464641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40906 + ... + 41014.

Almost surely, 24464640 is an apocalyptic number.

4464640 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 4464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5406390).

4464640 is an abundant number, since it is smaller than the sum of its proper divisors (6348140).

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

4464640 is an equidigital number, since it uses as much as digits as its factorization.

4464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 4464640 is about 2112.9694744601. The cubic root of 4464640 is about 164.6627946514.

The spelling of 4464640 in words is "four million, four hundred sixty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 109 128 160 218 256 320 436 512 545 640 872 1024 1090 1280 1744 2048 2180 2560 3488 4096 4360 5120 6976 8192 8720 10240 13952 17440 20480 27904 34880 40960 55808 69760 111616 139520 223232 279040 446464 558080 892928 1116160 2232320 4464640