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3862995409 = 721326832
BaseRepresentation
bin1110011001000000…
…1010000111010001
3100222012220111111001
43212100022013101
530402411323114
61435153222001
7164504630200
oct34620120721
910865814431
103862995409
111702618699
128b9861901
13497422900
1428908d237
15179211374
hexe640a1d1

3862995409 has 27 divisors (see below), whose sum is σ = 4873081563. Its totient is φ = 3051960912.

The previous prime is 3862995407. The next prime is 3862995457. The reversal of 3862995409 is 9045992683.

It is a happy number.

The square root of 3862995409 is 62153.

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., 571449025 + 3291546384 = 23905^2 + 57372^2 .

It is not a de Polignac number, because 3862995409 - 21 = 3862995407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3862995409.

It is not an unprimeable number, because it can be changed into a prime (3862995407) 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 26 ways as a sum of consecutive naturals, for example, 5655582 + ... + 5656264.

Almost surely, 23862995409 is an apocalyptic number.

3862995409 is the 62153-rd square number.

3862995409 is the 31077-th centered octagonal number.

It is an amenable number.

3862995409 is a deficient number, since it is larger than the sum of its proper divisors (1010086154).

3862995409 is an frugal number, since it uses more digits than its factorization.

3862995409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1406 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 55.

The cubic root of 3862995409 is about 1569.0666703060.

The spelling of 3862995409 in words is "three billion, eight hundred sixty-two million, nine hundred ninety-five thousand, four hundred nine".

Divisors: 1 7 13 49 91 169 637 683 1183 4781 8281 8879 33467 62153 115427 435071 466489 807989 3265423 5655923 6064357 22857961 42450499 78836641 297153493 551856487 3862995409