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2042443233 = 322947167997
BaseRepresentation
bin111100110111101…
…0011010111100001
312021100012212101200
41321233103113201
513140331140413
6534400351413
7101420323665
oct17157232741
95240185350
102042443233
119589a6916
12490015569
132671b7cbc
141553868a5
15be498573
hex79bd35e1

2042443233 has 48 divisors (see below), whose sum is σ = 3138670080. Its totient is φ = 1277716608.

The previous prime is 2042443231. The next prime is 2042443243. The reversal of 2042443233 is 3323442402.

2042443233 is a `hidden beast` number, since 2 + 0 + 424 + 4 + 3 + 233 = 666.

It is not a de Polignac number, because 2042443233 - 21 = 2042443231 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2042443197 and 2042443206.

It is not an unprimeable number, because it can be changed into a prime (2042443231) 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 47 ways as a sum of consecutive naturals, for example, 2048091 + ... + 2049087.

It is an arithmetic number, because the mean of its divisors is an integer number (65388960).

Almost surely, 22042443233 is an apocalyptic number.

It is an amenable number.

2042443233 is a deficient number, since it is larger than the sum of its proper divisors (1096226847).

2042443233 is a wasteful number, since it uses less digits than its factorization.

2042443233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 27.

The square root of 2042443233 is about 45193.3981129988. The cubic root of 2042443233 is about 1268.7712572559.

Adding to 2042443233 its reverse (3323442402), we get a palindrome (5365885635).

The spelling of 2042443233 in words is "two billion, forty-two million, four hundred forty-three thousand, two hundred thirty-three".

Divisors: 1 3 9 29 47 87 141 167 261 423 501 997 1363 1503 2991 4089 4843 7849 8973 12267 14529 23547 28913 43587 46859 70641 86739 140577 166499 227621 260217 421731 499497 682863 1358911 1498491 2048589 4076733 4828471 7825453 12230199 14485413 23476359 43456239 70429077 226938137 680814411 2042443233