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54136434 = 231119231877
BaseRepresentation
bin1100111010000…
…0111001110010
310202212102020010
43032200321302
5102324331214
65212155350
71225103112
oct316407162
9122772203
1054136434
1128616560
1216168b56
13b2a60c1
147293042
154b45659
hex33a0e72

54136434 has 64 divisors (see below), whose sum is σ = 129807360. Its totient is φ = 14857920.

The previous prime is 54136429. The next prime is 54136451. The reversal of 54136434 is 43463145.

54136434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 27904 + ... + 29780.

It is an arithmetic number, because the mean of its divisors is an integer number (2028240).

Almost surely, 254136434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54136434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64903680).

54136434 is an abundant number, since it is smaller than the sum of its proper divisors (75670926).

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

54136434 is a wasteful number, since it uses less digits than its factorization.

54136434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935.

The product of its digits is 17280, while the sum is 30.

The square root of 54136434 is about 7357.7465300185. The cubic root of 54136434 is about 378.2943733075.

Adding to 54136434 its reverse (43463145), we get a palindrome (97599579).

Subtracting from 54136434 its reverse (43463145), we obtain a square (10673289 = 32672).

The spelling of 54136434 in words is "fifty-four million, one hundred thirty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 19 22 23 33 38 46 57 66 69 114 138 209 253 418 437 506 627 759 874 1254 1311 1518 1877 2622 3754 4807 5631 9614 11262 14421 20647 28842 35663 41294 43171 61941 71326 86342 106989 123882 129513 213978 259026 392293 474881 784586 820249 949762 1176879 1424643 1640498 2353758 2460747 2849286 4921494 9022739 18045478 27068217 54136434