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1129430449 = 7248012
BaseRepresentation
bin100001101010001…
…1011110110110001
32220201020000022101
41003110123312301
54303113233244
6304023340401
736663000100
oct10324336661
92821200271
101129430449
1152a5968a4
122762b1701
1314ccb6654
14aa000037
156924b0d4
hex4351bdb1

1129430449 has 9 divisors (see below), whose sum is σ = 1314100971. Its totient is φ = 967881600.

The previous prime is 1129430443. The next prime is 1129430483. The reversal of 1129430449 is 9440349211.

The square root of 1129430449 is 33607.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 652444849 + 476985600 = 25543^2 + 21840^2 .

It is not a de Polignac number, because 1129430449 - 211 = 1129428401 is a prime.

It is a super-2 number, since 2×11294304492 = 2551226278256683202, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1129430443) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 232849 + ... + 237649.

It is an arithmetic number, because the mean of its divisors is an integer number (146011219).

Almost surely, 21129430449 is an apocalyptic number.

1129430449 is the 33607-th square number.

1129430449 is the 16804-th centered octagonal number.

It is an amenable number.

1129430449 is a deficient number, since it is larger than the sum of its proper divisors (184670522).

1129430449 is an frugal number, since it uses more digits than its factorization.

1129430449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9616 (or 4808 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The cubic root of 1129430449 is about 1041.4054128593.

The spelling of 1129430449 in words is "one billion, one hundred twenty-nine million, four hundred thirty thousand, four hundred forty-nine".

Divisors: 1 7 49 4801 33607 235249 23049601 161347207 1129430449