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4241221424 = 241124097849
BaseRepresentation
bin1111110011001011…
…1110011100110000
3101221120121101000222
43330302332130300
532141223041144
61540504032212
7210046534016
oct37462763460
911846541028
104241221424
111887071480
129a4462668
135278ac49b
142c33c68b6
1519c5232ee
hexfccbe730

4241221424 has 20 divisors (see below), whose sum is σ = 8964400200. Its totient is φ = 1927827840.

The previous prime is 4241221417. The next prime is 4241221427.

It is a happy number.

4241221424 is nontrivially palindromic in base 10.

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 = 4241221393 and 4241221402.

It is not an unprimeable number, because it can be changed into a prime (4241221427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12048749 + ... + 12049100.

It is an arithmetic number, because the mean of its divisors is an integer number (448220010).

Almost surely, 24241221424 is an apocalyptic number.

4241221424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4241221424 is an abundant number, since it is smaller than the sum of its proper divisors (4723178776).

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

4241221424 is a wasteful number, since it uses less digits than its factorization.

4241221424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24097868 (or 24097862 counting only the distinct ones).

The product of its digits is 4096, while the sum is 26.

The square root of 4241221424 is about 65124.6606440295. The cubic root of 4241221424 is about 1618.6898699826.

It can be divided in two parts, 42412 and 21424, that added together give a palindrome (63836).

The spelling of 4241221424 in words is "four billion, two hundred forty-one million, two hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 24097849 48195698 96391396 192782792 265076339 385565584 530152678 1060305356 2120610712 4241221424