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1253605349 = 28112893461
BaseRepresentation
bin100101010111000…
…0111111111100101
310020100212202020202
41022232013333211
510031410332344
6324221040245
743031320043
oct11256077745
93210782222
101253605349
1159369a287
122ab9b6085
1316c942919
14bc6c5393
15750c894e
hex4ab87fe5

1253605349 has 8 divisors (see below), whose sum is σ = 1259406360. Its totient is φ = 1247814400.

The previous prime is 1253605319. The next prime is 1253605369. The reversal of 1253605349 is 9435063521.

It can be written as a sum of positive squares in 4 ways, for example, as 275792449 + 977812900 = 16607^2 + 31270^2 .

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 1253605349 - 224 = 1236828133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253605319) 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 7 ways as a sum of consecutive naturals, for example, 360479 + ... + 363939.

It is an arithmetic number, because the mean of its divisors is an integer number (157425795).

Almost surely, 21253605349 is an apocalyptic number.

It is an amenable number.

1253605349 is a deficient number, since it is larger than the sum of its proper divisors (5801011).

1253605349 is a wasteful number, since it uses less digits than its factorization.

1253605349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5031.

The product of its (nonzero) digits is 97200, while the sum is 38.

The square root of 1253605349 is about 35406.2896813546. The cubic root of 1253605349 is about 1078.2520160866.

The spelling of 1253605349 in words is "one billion, two hundred fifty-three million, six hundred five thousand, three hundred forty-nine".

Divisors: 1 281 1289 3461 362209 972541 4461229 1253605349