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1085131449 = 32373898377
BaseRepresentation
bin100000010101101…
…1100101010111001
32210121212101111200
41000223130222321
54210243201244
6255402044413
735614315353
oct10053345271
92717771450
101085131449
1150758a356
122634a9709
13143a7611c
14a418c0d3
15653ea669
hex40adcab9

1085131449 has 24 divisors (see below), whose sum is σ = 1614105480. Its totient is φ = 701975808.

The previous prime is 1085131417. The next prime is 1085131469. The reversal of 1085131449 is 9441315801.

1085131449 is a `hidden beast` number, since 1 + 0 + 85 + 131 + 449 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84548025 + 1000583424 = 9195^2 + 31632^2 .

It is not a de Polignac number, because 1085131449 - 25 = 1085131417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1085131469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125349 + ... + 133725.

It is an arithmetic number, because the mean of its divisors is an integer number (67254395).

Almost surely, 21085131449 is an apocalyptic number.

It is an amenable number.

1085131449 is a deficient number, since it is larger than the sum of its proper divisors (528974031).

1085131449 is a wasteful number, since it uses less digits than its factorization.

1085131449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8809 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1085131449 is about 32941.3334429558. Note that the first 3 decimals coincide. The cubic root of 1085131449 is about 1027.6079372286.

The spelling of 1085131449 in words is "one billion, eighty-five million, one hundred thirty-one thousand, four hundred forty-nine".

Divisors: 1 3 9 37 111 333 389 1167 3501 8377 14393 25131 43179 75393 129537 309949 929847 2789541 3258653 9775959 29327877 120570161 361710483 1085131449