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4205332421 = 37233641761
BaseRepresentation
bin1111101010101000…
…0100011111000101
3101212002002000120122
43322222010133011
532103031114141
61533142511325
7206132510243
oct37252043705
911762060518
104205332421
111868889544
12994435545
13520324ba4
142bc723793
151992d464b
hexfaa847c5

4205332421 has 16 divisors (see below), whose sum is σ = 4350001968. Its totient is φ = 4062412800.

The previous prime is 4205332393. The next prime is 4205332433. The reversal of 4205332421 is 1242335024.

It can be written as a sum of positive squares in 8 ways, for example, as 17430625 + 4187901796 = 4175^2 + 64714^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4205332421 is a prime.

It is a super-2 number, since 2×42053324212 = 35369641542227442482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4205332451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5525681 + ... + 5526441.

It is an arithmetic number, because the mean of its divisors is an integer number (271875123).

Almost surely, 24205332421 is an apocalyptic number.

It is an amenable number.

4205332421 is a deficient number, since it is larger than the sum of its proper divisors (144669547).

4205332421 is a wasteful number, since it uses less digits than its factorization.

4205332421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672.

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 4205332421 is about 64848.5344552982. The cubic root of 4205332421 is about 1614.1111731911. Note that the first 4 decimals are identical.

Adding to 4205332421 its reverse (1242335024), we get a palindrome (5447667445).

The spelling of 4205332421 in words is "four billion, two hundred five million, three hundred thirty-two thousand, four hundred twenty-one".

Divisors: 1 37 233 641 761 8621 23717 28157 149353 177313 487801 5526061 6560581 18048637 113657633 4205332421