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4223968 = 257109173
BaseRepresentation
bin10000000111001111100000
321221121012021
4100013033200
52040131333
6230311224
750621530
oct20071740
97847167
104223968
112425591
1214b8514
13b4b7b8
147bd4c0
1558682d
hex4073e0

4223968 has 48 divisors (see below), whose sum is σ = 9646560. Its totient is φ = 1783296.

The previous prime is 4223963. The next prime is 4223977. The reversal of 4223968 is 8693224.

It is a d-powerful number, because it can be written as 411 + 29 + 213 + 39 + 93 + 62 + 83 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4223963) 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, 24330 + ... + 24502.

It is an arithmetic number, because the mean of its divisors is an integer number (200970).

Almost surely, 24223968 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 4223968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823280).

4223968 is an abundant number, since it is smaller than the sum of its proper divisors (5422592).

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

4223968 is a wasteful number, since it uses less digits than its factorization.

4223968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

The product of its digits is 20736, while the sum is 34.

The square root of 4223968 is about 2055.2294275822. The cubic root of 4223968 is about 161.6491926178.

The spelling of 4223968 in words is "four million, two hundred twenty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 173 218 224 346 436 692 763 872 1211 1384 1526 1744 2422 2768 3052 3488 4844 5536 6104 9688 12208 18857 19376 24416 37714 38752 75428 131999 150856 263998 301712 527996 603424 1055992 2111984 4223968