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4424464 = 2411231093
BaseRepresentation
bin10000111000001100010000
322022210020001
4100320030100
52113040324
6234455344
752415212
oct20701420
98283201
104424464
112552190
121594554
13bbbb35
148325b2
155c5e44
hex438310

4424464 has 40 divisors (see below), whose sum is σ = 9767232. Its totient is φ = 1921920.

The previous prime is 4424447. The next prime is 4424467. The reversal of 4424464 is 4644244.

4424464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (4424467) by changing a digit.

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, 3502 + ... + 4594.

Almost surely, 24424464 is an apocalyptic number.

4424464 is a gapful number since it is divisible by the number (44) 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 4424464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4883616).

4424464 is an abundant number, since it is smaller than the sum of its proper divisors (5342768).

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

4424464 is a wasteful number, since it uses less digits than its factorization.

4424464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1135 (or 1129 counting only the distinct ones).

The product of its digits is 12288, while the sum is 28.

The square root of 4424464 is about 2103.4409903774. The cubic root of 4424464 is about 164.1673880884.

The spelling of 4424464 in words is "four million, four hundred twenty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 1093 2024 2186 4048 4372 8744 12023 17488 24046 25139 48092 50278 96184 100556 192368 201112 276529 402224 553058 1106116 2212232 4424464