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4244554424 = 2311174365983
BaseRepresentation
bin1111110011111110…
…1100001010111000
3101221210212201001102
43330333230022320
532143101220144
61541103310532
7210120055145
oct37477541270
911853781042
104244554424
111888a38620
129a55ab448
135284a8586
142c3a133cc
1519c980b4e
hexfcfec2b8

4244554424 has 64 divisors (see below), whose sum is σ = 9406679040. Its totient is φ = 1773596160.

The previous prime is 4244554411. The next prime is 4244554427.

4244554424 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244554427) 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, 31337 + ... + 97319.

It is an arithmetic number, because the mean of its divisors is an integer number (146979360).

Almost surely, 24244554424 is an apocalyptic number.

4244554424 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 4244554424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4703339520).

4244554424 is an abundant number, since it is smaller than the sum of its proper divisors (5162124616).

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

4244554424 is a wasteful number, since it uses less digits than its factorization.

4244554424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66060 (or 66056 counting only the distinct ones).

The product of its digits is 409600, while the sum is 38.

The square root of 4244554424 is about 65150.2450033766. The cubic root of 4244554424 is about 1619.1137793674.

It can be divided in two parts, 42445 and 54424, that added together give a palindrome (96869).

The spelling of 4244554424 in words is "four billion, two hundred forty-four million, five hundred fifty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 43 44 68 86 88 136 172 187 344 374 473 731 748 946 1462 1496 1892 2924 3784 5848 8041 16082 32164 64328 65983 131966 263932 527864 725813 1121711 1451626 2243422 2837269 2903252 4486844 5674538 5806504 8973688 11349076 12338821 22698152 24677642 31209959 48233573 49355284 62419918 96467146 98710568 124839836 192934292 249679672 385868584 530569303 1061138606 2122277212 4244554424