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54400401 = 32111928921
BaseRepresentation
bin1100111110000…
…1010110010001
310210100211022200
43033201112101
5102411303101
65221553413
71230252516
oct317412621
9123324280
1054400401
1128786910
1216275869
13b3692b3
14732130d
154b98986
hex33e1591

54400401 has 24 divisors (see below), whose sum is σ = 90236640. Its totient is φ = 31233600.

The previous prime is 54400373. The next prime is 54400421. The reversal of 54400401 is 10400445.

54400401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 54400401 - 213 = 54392209 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54400421) 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 23 ways as a sum of consecutive naturals, for example, 12580 + ... + 16341.

It is an arithmetic number, because the mean of its divisors is an integer number (3759860).

Almost surely, 254400401 is an apocalyptic number.

It is an amenable number.

54400401 is a deficient number, since it is larger than the sum of its proper divisors (35836239).

54400401 is a wasteful number, since it uses less digits than its factorization.

54400401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28957 (or 28954 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 54400401 is about 7375.6627498822. The cubic root of 54400401 is about 378.9082258882.

Adding to 54400401 its reverse (10400445), we get a palindrome (64800846).

The spelling of 54400401 in words is "fifty-four million, four hundred thousand, four hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 28921 86763 260289 318131 549499 954393 1648497 2863179 4945491 6044489 18133467 54400401