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1283892241 = 17557135589
BaseRepresentation
bin100110010000110…
…1010010000010001
310022110212111001111
41030201222100101
510112134022431
6331222133321
743546622032
oct11441522021
93273774044
101283892241
115a97a6275
122b9b81241
13175cb8368
14c272aa89
1577aac7b1
hex4c86a411

1283892241 has 8 divisors (see below), whose sum is σ = 1361865960. Its totient is φ = 1206190848.

The previous prime is 1283892221. The next prime is 1283892283. The reversal of 1283892241 is 1422983821.

It can be written as a sum of positive squares in 4 ways, for example, as 420414016 + 863478225 = 20504^2 + 29385^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1283892241 - 25 = 1283892209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1283892194 and 1283892203.

It is not an unprimeable number, because it can be changed into a prime (1283892221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58326 + ... + 77263.

It is an arithmetic number, because the mean of its divisors is an integer number (170233245).

Almost surely, 21283892241 is an apocalyptic number.

It is an amenable number.

1283892241 is a deficient number, since it is larger than the sum of its proper divisors (77973719).

1283892241 is a wasteful number, since it uses less digits than its factorization.

1283892241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136163.

The product of its digits is 55296, while the sum is 40.

The square root of 1283892241 is about 35831.4420725708. The cubic root of 1283892241 is about 1086.8664712934.

The spelling of 1283892241 in words is "one billion, two hundred eighty-three million, eight hundred ninety-two thousand, two hundred forty-one".

Divisors: 1 17 557 9469 135589 2305013 75523073 1283892241