Search a number
-
+
4253216 = 251143281
BaseRepresentation
bin10000001110011000100000
322000002022112
4100032120200
52042100331
6231054452
751103022
oct20163040
98002275
104253216
112445560
121511428
13b5bbc6
147ca012
1559032b
hex40e620

4253216 has 48 divisors (see below), whose sum is σ = 9380448. Its totient is φ = 1881600.

The previous prime is 4253209. The next prime is 4253233. The reversal of 4253216 is 6123524.

It is a junction number, because it is equal to n+sod(n) for n = 4253191 and 4253200.

It is an unprimeable number.

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, 14996 + ... + 15276.

It is an arithmetic number, because the mean of its divisors is an integer number (195426).

Almost surely, 24253216 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 4253216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4690224).

4253216 is an abundant number, since it is smaller than the sum of its proper divisors (5127232).

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

4253216 is a wasteful number, since it uses less digits than its factorization.

4253216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its digits is 1440, while the sum is 23.

The square root of 4253216 is about 2062.3326598781. The cubic root of 4253216 is about 162.0214369843.

The spelling of 4253216 in words is "four million, two hundred fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 43 44 86 88 172 176 281 344 352 473 562 688 946 1124 1376 1892 2248 3091 3784 4496 6182 7568 8992 12083 12364 15136 24166 24728 48332 49456 96664 98912 132913 193328 265826 386656 531652 1063304 2126608 4253216