Search a number
-
+
54420414 = 23293779107
BaseRepresentation
bin1100111110011…
…0001110111110
310210101211202220
43033212032332
5102412423124
65222230210
71230365046
oct317461676
9123354686
1054420414
112879a954
1216285366
13b375439
147328726
154b9e879
hex33e63be

54420414 has 64 divisors (see below), whose sum is σ = 118195200. Its totient is φ = 16668288.

The previous prime is 54420409. The next prime is 54420419. The reversal of 54420414 is 41402445.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54420409) and next prime (54420419).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54420419) 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 31 ways as a sum of consecutive naturals, for example, 508549 + ... + 508655.

It is an arithmetic number, because the mean of its divisors is an integer number (1846800).

Almost surely, 254420414 is an apocalyptic number.

54420414 is an abundant number, since it is smaller than the sum of its proper divisors (63774786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54420414 is a wasteful number, since it uses less digits than its factorization.

54420414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257.

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 54420414 is about 7377.0193167702. The cubic root of 54420414 is about 378.9546848632.

Adding to 54420414 its reverse (41402445), we get a palindrome (95822859).

The spelling of 54420414 in words is "fifty-four million, four hundred twenty thousand, four hundred fourteen".

Divisors: 1 2 3 6 29 37 58 74 79 87 107 111 158 174 214 222 237 321 474 642 1073 2146 2291 2923 3103 3219 3959 4582 5846 6206 6438 6873 7918 8453 8769 9309 11877 13746 16906 17538 18618 23754 25359 50718 84767 114811 169534 229622 245137 254301 312761 344433 490274 508602 625522 688866 735411 938283 1470822 1876566 9070069 18140138 27210207 54420414