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4864032 = 253216889
BaseRepresentation
bin10010100011100000100000
3100011010012100
4102203200200
52221122112
6252130400
756225565
oct22434040
910133170
104864032
112822468
121766a00
131013c34
1490886c
156612dc
hex4a3820

4864032 has 36 divisors (see below), whose sum is σ = 13832910. Its totient is φ = 1621248.

The previous prime is 4864021. The next prime is 4864033. The reversal of 4864032 is 2304684.

It can be written as a sum of positive squares in only one way, i.e., 4822416 + 41616 = 2196^2 + 204^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 4863987 and 4864005.

It is not an unprimeable number, because it can be changed into a prime (4864033) 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 5 ways as a sum of consecutive naturals, for example, 8157 + ... + 8732.

Almost surely, 24864032 is an apocalyptic number.

It is an amenable number.

4864032 is an abundant number, since it is smaller than the sum of its proper divisors (8968878).

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

4864032 is a wasteful number, since it uses less digits than its factorization.

4864032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16905 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4864032 is about 2205.4550550850. The cubic root of 4864032 is about 169.4333149329.

The spelling of 4864032 in words is "four million, eight hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 16889 33778 50667 67556 101334 135112 152001 202668 270224 304002 405336 540448 608004 810672 1216008 1621344 2432016 4864032