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4114464 = 25342859
BaseRepresentation
bin1111101100100000100000
321202000222120
433230200200
52023130324
6224104240
746654344
oct17544040
97660876
104114464
112360292
121465080
13b109c3
14791624
15564179
hex3ec820

4114464 has 24 divisors (see below), whose sum is σ = 10800720. Its totient is φ = 1371456.

The previous prime is 4114463. The next prime is 4114477. The reversal of 4114464 is 4644114.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is not an unprimeable number, because it can be changed into a prime (4114463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 21334 + ... + 21525.

It is an arithmetic number, because the mean of its divisors is an integer number (450030).

Almost surely, 24114464 is an apocalyptic number.

It is an amenable number.

4114464 is an abundant number, since it is smaller than the sum of its proper divisors (6686256).

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

4114464 is a wasteful number, since it uses less digits than its factorization.

4114464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42872 (or 42864 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 4114464 is about 2028.4141588936. The cubic root of 4114464 is about 160.2400563176.

Adding to 4114464 its reverse (4644114), we get a palindrome (8758578).

The spelling of 4114464 in words is "four million, one hundred fourteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 42859 85718 128577 171436 257154 342872 514308 685744 1028616 1371488 2057232 4114464