Search a number
-
+
4424244 = 223113277
BaseRepresentation
bin10000111000001000110100
322022202220220
4100320020310
52113033434
6234454340
752414446
oct20701064
98282826
104424244
112552000
1215943b0
13bbb9c6
14832496
155c5d49
hex438234

4424244 has 48 divisors (see below), whose sum is σ = 11395776. Its totient is φ = 1335840.

The previous prime is 4424239. The next prime is 4424249.

4424244 = T57 + T58 + ... + T298.

4424244 = 1282 + 1292 + ... + 2482.

4424244 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4424239) and next prime (4424249).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4424249) 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, 15834 + ... + 16110.

It is an arithmetic number, because the mean of its divisors is an integer number (237412).

Almost surely, 24424244 is an apocalyptic number.

4424244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4424244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5697888).

4424244 is an abundant number, since it is smaller than the sum of its proper divisors (6971532).

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

4424244 is a wasteful number, since it uses less digits than its factorization.

4424244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 293 counting only the distinct ones).

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

The square root of 4424244 is about 2103.3886944642. The cubic root of 4424244 is about 164.1646670489.

The spelling of 4424244 in words is "four million, four hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 277 363 484 554 726 831 1108 1331 1452 1662 2662 3047 3324 3993 5324 6094 7986 9141 12188 15972 18282 33517 36564 67034 100551 134068 201102 368687 402204 737374 1106061 1474748 2212122 4424244