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1007000449 = 71323946301
BaseRepresentation
bin111100000001011…
…001101110000001
32121011211220220221
4330001121232001
54030243003244
6243531303041
733645235240
oct7401315601
92534756827
101007000449
11477475384
122412aaa81
1313081b670
1497a50957
155d615784
hex3c059b81

1007000449 has 16 divisors (see below), whose sum is σ = 1244597760. Its totient is φ = 793396800.

The previous prime is 1007000447. The next prime is 1007000453. The reversal of 1007000449 is 9440007001.

It is not a de Polignac number, because 1007000449 - 21 = 1007000447 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1007000441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402 + ... + 44899.

It is an arithmetic number, because the mean of its divisors is an integer number (77787360).

Almost surely, 21007000449 is an apocalyptic number.

It is an amenable number.

1007000449 is a deficient number, since it is larger than the sum of its proper divisors (237597311).

1007000449 is a wasteful number, since it uses less digits than its factorization.

1007000449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46560.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1007000449 is about 31733.2703798395. The cubic root of 1007000449 is about 1002.3280589357.

The spelling of 1007000449 in words is "one billion, seven million, four hundred forty-nine", and thus it is an aban number.

Divisors: 1 7 13 91 239 1673 3107 21749 46301 324107 601913 4213391 11065939 77461573 143857207 1007000449