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441164844 = 223231395309
BaseRepresentation
bin11010010010111…
…010010000101100
31010202010111101200
4122102322100230
51400414233334
6111435405500
713634560611
oct3222722054
91122114350
10441164844
1120703174a
121038b3890
13705253b3
144283c508
1528ae5799
hex1a4ba42c

441164844 has 36 divisors (see below), whose sum is σ = 1151142720. Its totient is φ = 142310880.

The previous prime is 441164839. The next prime is 441164851. The reversal of 441164844 is 448461144.

441164844 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 648 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 441164799 and 441164808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196539 + ... + 198770.

Almost surely, 2441164844 is an apocalyptic number.

It is an amenable number.

441164844 is an abundant number, since it is smaller than the sum of its proper divisors (709977876).

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

441164844 is a wasteful number, since it uses less digits than its factorization.

441164844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395350 (or 395345 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 441164844 is about 21003.9244904375. The cubic root of 441164844 is about 761.2610895680.

The spelling of 441164844 in words is "four hundred forty-one million, one hundred sixty-four thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 395309 790618 1185927 1581236 2371854 3557781 4743708 7115562 12254579 14231124 24509158 36763737 49018316 73527474 110291211 147054948 220582422 441164844