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54580401 = 326064489
BaseRepresentation
bin1101000000110…
…1010010110001
310210200222020100
43100031102301
5102433033101
65225503013
71231632351
oct320152261
9123628210
1054580401
112889a077
1216341a69
13b4001c5
14736ab61
154bd1e86
hex340d4b1

54580401 has 6 divisors (see below), whose sum is σ = 78838370. Its totient is φ = 36386928.

The previous prime is 54580399. The next prime is 54580423. The reversal of 54580401 is 10408545.

54580401 is a `hidden beast` number, since 545 + 80 + 40 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53582400 + 998001 = 7320^2 + 999^2 .

It is not a de Polignac number, because 54580401 - 21 = 54580399 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (54580441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3032236 + ... + 3032253.

Almost surely, 254580401 is an apocalyptic number.

It is an amenable number.

54580401 is a deficient number, since it is larger than the sum of its proper divisors (24257969).

54580401 is a wasteful number, since it uses less digits than its factorization.

54580401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6064495 (or 6064492 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 54580401 is about 7387.8549660913. The cubic root of 54580401 is about 379.3256762103.

Adding to 54580401 its reverse (10408545), we get a palindrome (64988946).

The spelling of 54580401 in words is "fifty-four million, five hundred eighty thousand, four hundred one".

Divisors: 1 3 9 6064489 18193467 54580401