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1004894401 = 7219256809
BaseRepresentation
bin111011111001010…
…111100011000001
32121000212220222011
4323321113203001
54024223110101
6243414212521
733621314200
oct7371274301
92530786864
101004894401
11476267045
12240654141
13130261b94
1497663237
155d34b751
hex3be578c1

1004894401 has 18 divisors (see below), whose sum is σ = 1233742770. Its totient is φ = 815990112.

The previous prime is 1004894393. The next prime is 1004894411. The reversal of 1004894401 is 1044984001.

It can be written as a sum of positive squares in only one way, i.e., 523311376 + 481583025 = 22876^2 + 21945^2 .

It is not a de Polignac number, because 1004894401 - 23 = 1004894393 is a prime.

It is a super-2 number, since 2×10048944012 = 2019625514322297602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1004894411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10716 + ... + 46093.

It is an arithmetic number, because the mean of its divisors is an integer number (68541265).

Almost surely, 21004894401 is an apocalyptic number.

It is an amenable number.

1004894401 is a deficient number, since it is larger than the sum of its proper divisors (228848369).

1004894401 is an equidigital number, since it uses as much as digits as its factorization.

1004894401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56861 (or 56835 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 1004894401 is about 31700.0694163278. The cubic root of 1004894401 is about 1001.6288125293.

The spelling of 1004894401 in words is "one billion, four million, eight hundred ninety-four thousand, four hundred one".

Divisors: 1 7 19 49 133 361 931 2527 17689 56809 397663 1079371 2783641 7555597 20508049 52889179 143556343 1004894401