Search a number
-
+
4321616 = 241379263
BaseRepresentation
bin10000011111000101010000
322010120010212
4100133011100
52101242431
6232343252
751506315
oct20370520
98116125
104321616
112491992
121544b28
13b84090
14806d0c
155a572b
hex41f150

4321616 has 40 divisors (see below), whose sum is σ = 9166080. Its totient is φ = 1961856.

The previous prime is 4321613. The next prime is 4321627. The reversal of 4321616 is 6161234.

It is a happy number.

It is an alternating number because its digits alternate between even and odd.

4321616 is a modest number, since divided by 1616 gives 432 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 4321591 and 4321600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4321613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16301 + ... + 16563.

It is an arithmetic number, because the mean of its divisors is an integer number (229152).

Almost surely, 24321616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4321616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4583040).

4321616 is an abundant number, since it is smaller than the sum of its proper divisors (4844464).

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

4321616 is a wasteful number, since it uses less digits than its factorization.

4321616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 357 counting only the distinct ones).

The product of its digits is 864, while the sum is 23.

The square root of 4321616 is about 2078.8496819155. The cubic root of 4321616 is about 162.8853623291.

It can be divided in two parts, 432 and 1616, that added together give a 11-th power (2048 = 211).

The spelling of 4321616 in words is "four million, three hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 13 16 26 52 79 104 158 208 263 316 526 632 1027 1052 1264 2054 2104 3419 4108 4208 6838 8216 13676 16432 20777 27352 41554 54704 83108 166216 270101 332432 540202 1080404 2160808 4321616