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4493333944 = 2311132138653
BaseRepresentation
bin1000010111101001…
…01101010110111000
3102121011000000101201
410023310231112320
533200243141234
62021511423544
7216230464651
oct41364552670
912534000351
104493333944
1119a6408330
12a54984bb4
13567bb15a8
14308a92528
151b4723314
hex10bd2d5b8

4493333944 has 32 divisors (see below), whose sum is σ = 9198105840. Its totient is φ = 2040825600.

The previous prime is 4493333941. The next prime is 4493333987.

It is a happy number.

4493333944 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4493333894 and 4493333903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4493333941) 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 7 ways as a sum of consecutive naturals, for example, 96922 + ... + 135574.

Almost surely, 24493333944 is an apocalyptic number.

4493333944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4493333944 is an abundant number, since it is smaller than the sum of its proper divisors (4704771896).

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

4493333944 is a wasteful number, since it uses less digits than its factorization.

4493333944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39991 (or 39987 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 46.

The square root of 4493333944 is about 67032.3350630127. The cubic root of 4493333944 is about 1650.1480055787.

The spelling of 4493333944 in words is "four billion, four hundred ninety-three million, three hundred thirty-three thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 1321 2642 5284 10568 14531 29062 38653 58124 77306 116248 154612 309224 425183 850366 1700732 3401464 51060613 102121226 204242452 408484904 561666743 1123333486 2246666972 4493333944