Search a number
-
+
381152441 = 4130492
BaseRepresentation
bin10110101101111…
…110110010111001
3222120012112212002
4112231332302321
51240033334231
6101453230345
712305512415
oct2655766271
9876175762
10381152441
1118617251a
12a77923b5
1360c728b7
1438899d45
15236de0cb
hex16b7ecb9

381152441 has 6 divisors (see below), whose sum is σ = 390576942. Its totient is φ = 371734080.

The previous prime is 381152437. The next prime is 381152459. The reversal of 381152441 is 144251183.

It can be written as a sum of positive squares in 3 ways, for example, as 42445225 + 338707216 = 6515^2 + 18404^2 .

It is not a de Polignac number, because 381152441 - 22 = 381152437 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 (381152411) 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 5 ways as a sum of consecutive naturals, for example, 123485 + ... + 126533.

It is an arithmetic number, because the mean of its divisors is an integer number (65096157).

Almost surely, 2381152441 is an apocalyptic number.

It is an amenable number.

381152441 is a deficient number, since it is larger than the sum of its proper divisors (9424501).

381152441 is an frugal number, since it uses more digits than its factorization.

381152441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6139 (or 3090 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

The square root of 381152441 is about 19523.1257999328. The cubic root of 381152441 is about 725.0471255931.

The spelling of 381152441 in words is "three hundred eighty-one million, one hundred fifty-two thousand, four hundred forty-one".

Divisors: 1 41 3049 125009 9296401 381152441