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4244424 = 23317101103
BaseRepresentation
bin10000001100001111001000
321222122020220
4100030033020
52041310144
6230550040
751035262
oct20141710
97878226
104244424
112439998
121508320
13b57bc2
147c6b32
1558c919
hex40c3c8

4244424 has 64 divisors (see below), whose sum is σ = 11456640. Its totient is φ = 1305600.

The previous prime is 4244423. The next prime is 4244431.

4244424 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4244394 and 4244403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41157 + ... + 41259.

It is an arithmetic number, because the mean of its divisors is an integer number (179010).

Almost surely, 24244424 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 4244424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728320).

4244424 is an abundant number, since it is smaller than the sum of its proper divisors (7212216).

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

4244424 is a wasteful number, since it uses less digits than its factorization.

4244424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 226 counting only the distinct ones).

The product of its digits is 4096, while the sum is 24.

The square root of 4244424 is about 2060.1999902922. The cubic root of 4244424 is about 161.9097195494.

The spelling of 4244424 in words is "four million, two hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 101 102 103 136 202 204 206 303 309 404 408 412 606 618 808 824 1212 1236 1717 1751 2424 2472 3434 3502 5151 5253 6868 7004 10302 10403 10506 13736 14008 20604 20806 21012 31209 41208 41612 42024 62418 83224 124836 176851 249672 353702 530553 707404 1061106 1414808 2122212 4244424