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54565434 = 23371121193
BaseRepresentation
bin1101000000100…
…1101000111010
310210200012201000
43100021220322
5102432043214
65225305430
71231540620
oct320115072
9123605630
1054565434
1128889900
1216335276
13b3c6451
147365510
154bcc809
hex3409a3a

54565434 has 96 divisors (see below), whose sum is σ = 152449920. Its totient is φ = 14160960.

The previous prime is 54565429. The next prime is 54565463. The reversal of 54565434 is 43456545.

54565434 is a `hidden beast` number, since 54 + 565 + 43 + 4 = 666.

54565434 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 45142 + ... + 46334.

It is an arithmetic number, because the mean of its divisors is an integer number (1588020).

Almost surely, 254565434 is an apocalyptic number.

54565434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54565434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76224960).

54565434 is an abundant number, since it is smaller than the sum of its proper divisors (97884486).

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

54565434 is a wasteful number, since it uses less digits than its factorization.

54565434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233 (or 1216 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 54565434 is about 7386.8419503872. The cubic root of 54565434 is about 379.2910002318.

Subtracting from 54565434 its reverse (43456545), we obtain a square (11108889 = 33332).

The spelling of 54565434 in words is "fifty-four million, five hundred sixty-five thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 121 126 154 189 198 231 242 297 363 378 462 594 693 726 847 1089 1193 1386 1694 2079 2178 2386 2541 3267 3579 4158 5082 6534 7158 7623 8351 10737 13123 15246 16702 21474 22869 25053 26246 32211 39369 45738 50106 64422 75159 78738 91861 118107 144353 150318 183722 225477 236214 275583 288706 354321 433059 450954 551166 708642 826749 866118 1010471 1299177 1653498 2020942 2480247 2598354 3031413 3897531 4960494 6062826 7795062 9094239 18188478 27282717 54565434