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1992133441 = 792319201
BaseRepresentation
bin111011010111101…
…1000101101000001
312010211112212100001
41312233120231001
513034441232231
6525402200001
7100236566134
oct16657305501
95124485301
101992133441
11932564381
124771b3001
132599518ac
1414c80c21b
15b9d5bb61
hex76bd8b41

1992133441 has 6 divisors (see below), whose sum is σ = 2017675842. Its totient is φ = 1966910400.

The previous prime is 1992133433. The next prime is 1992133447. The reversal of 1992133441 is 1443312991.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 998560000 + 993573441 = 31600^2 + 31521^2 .

It is not a de Polignac number, because 1992133441 - 23 = 1992133433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1992133441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1992133447) 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 5 ways as a sum of consecutive naturals, for example, 153360 + ... + 165841.

It is an arithmetic number, because the mean of its divisors is an integer number (336279307).

Almost surely, 21992133441 is an apocalyptic number.

It is an amenable number.

1992133441 is a deficient number, since it is larger than the sum of its proper divisors (25542401).

1992133441 is an frugal number, since it uses more digits than its factorization.

1992133441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319359 (or 319280 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 1992133441 is about 44633.3220923561. The cubic root of 1992133441 is about 1258.2670055103.

The spelling of 1992133441 in words is "one billion, nine hundred ninety-two million, one hundred thirty-three thousand, four hundred forty-one".

Divisors: 1 79 6241 319201 25216879 1992133441