Search a number
-
+
4073216 = 2872273
BaseRepresentation
bin1111100010011100000000
321122221101212
433202130000
52020320331
6223145252
746423160
oct17423400
97587355
104073216
1123322a4
121445228
13ac7cb4
147805a0
15556d2b
hex3e2700

4073216 has 36 divisors (see below), whose sum is σ = 9296112. Its totient is φ = 1744896.

The previous prime is 4073203. The next prime is 4073233. The reversal of 4073216 is 6123704.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4073191 and 4073200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 656 + ... + 2928.

Almost surely, 24073216 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 4073216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4648056).

4073216 is an abundant number, since it is smaller than the sum of its proper divisors (5222896).

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

4073216 is an equidigital number, since it uses as much as digits as its factorization.

4073216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2296 (or 2282 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 4073216 is about 2018.2209988007. The cubic root of 4073216 is about 159.7027815577.

The spelling of 4073216 in words is "four million, seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 1792 2273 4546 9092 15911 18184 31822 36368 63644 72736 127288 145472 254576 290944 509152 581888 1018304 2036608 4073216