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54010431 = 3225123909
BaseRepresentation
bin1100111000001…
…0001000111111
310202122000101100
43032002020333
5102311313211
65205344143
71224036546
oct316021077
9122560340
1054010431
112853a922
1216108053
13b260947
14725d15d
154b1d156
hex338223f

54010431 has 12 divisors (see below), whose sum is σ = 78329160. Its totient is φ = 35862000.

The previous prime is 54010423. The next prime is 54010447. The reversal of 54010431 is 13401045.

It is a happy number.

54010431 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 54010431 - 23 = 54010423 is a prime.

It is a super-2 number, since 2×540104312 = 5834253313611522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54010421) 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 11 ways as a sum of consecutive naturals, for example, 9696 + ... + 14213.

It is an arithmetic number, because the mean of its divisors is an integer number (6527430).

Almost surely, 254010431 is an apocalyptic number.

54010431 is a deficient number, since it is larger than the sum of its proper divisors (24318729).

54010431 is a wasteful number, since it uses less digits than its factorization.

54010431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24166 (or 24163 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 54010431 is about 7349.1789337313. The cubic root of 54010431 is about 378.0006508765. Note that the first 3 decimals are identical.

Adding to 54010431 its reverse (13401045), we get a palindrome (67411476).

The spelling of 54010431 in words is "fifty-four million, ten thousand, four hundred thirty-one".

Divisors: 1 3 9 251 753 2259 23909 71727 215181 6001159 18003477 54010431