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1054286401 = 72136115809
BaseRepresentation
bin111110110101110…
…010001001000001
32201110211022001111
4332311302021001
54124344131101
6252341003321
735061200200
oct7665621101
92643738044
101054286401
114a1131a83
122550b3541
1313a56660c
14a003d237
1562856251
hex3ed72241

1054286401 has 12 divisors (see below), whose sum is σ = 1227393540. Its totient is φ = 902952960.

The previous prime is 1054286381. The next prime is 1054286413. The reversal of 1054286401 is 1046824501.

1054286401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 97002801 + 957283600 = 9849^2 + 30940^2 .

It is not a de Polignac number, because 1054286401 - 25 = 1054286369 is a prime.

It is a super-2 number, since 2×10542864012 = 2223039630667065602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1054286201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58785 + ... + 74593.

It is an arithmetic number, because the mean of its divisors is an integer number (102282795).

Almost surely, 21054286401 is an apocalyptic number.

It is an amenable number.

1054286401 is a deficient number, since it is larger than the sum of its proper divisors (173107139).

1054286401 is a wasteful number, since it uses less digits than its factorization.

1054286401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17184 (or 17177 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 1054286401 is about 32469.7767316007. The cubic root of 1054286401 is about 1017.7775528022. Note that the first 3 decimals are identical.

The spelling of 1054286401 in words is "one billion, fifty-four million, two hundred eighty-six thousand, four hundred one".

Divisors: 1 7 49 1361 9527 15809 66689 110663 774641 21516049 150612343 1054286401