Search a number
-
+
54364266 = 232111731521
BaseRepresentation
bin1100111101100…
…0100001101010
310210021222202100
43033120201222
5102404124031
65221114230
71230042255
oct317304152
9123258670
1054364266
1128761750
1216258976
13b355a08
14731209c
154b8cde6
hex33d886a

54364266 has 96 divisors (see below), whose sum is σ = 140714496. Its totient is φ = 14976000.

The previous prime is 54364231. The next prime is 54364291. The reversal of 54364266 is 66246345.

54364266 is a `hidden beast` number, since 5 + 4 + 3 + 642 + 6 + 6 = 666.

54364266 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54364266.

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 47 ways as a sum of consecutive naturals, for example, 104086 + ... + 104606.

It is an arithmetic number, because the mean of its divisors is an integer number (1465776).

Almost surely, 254364266 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54364266, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70357248).

54364266 is an abundant number, since it is smaller than the sum of its proper divisors (86350230).

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

54364266 is a wasteful number, since it uses less digits than its factorization.

54364266 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 585 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 54364266 is about 7373.2127325881. The cubic root of 54364266 is about 378.8243117921.

The spelling of 54364266 in words is "fifty-four million, three hundred sixty-four thousand, two hundred sixty-six".

Divisors: 1 2 3 6 9 11 17 18 22 31 33 34 51 62 66 93 99 102 153 186 187 198 279 306 341 374 521 527 558 561 682 1023 1042 1054 1122 1563 1581 1683 2046 3069 3126 3162 3366 4689 4743 5731 5797 6138 8857 9378 9486 11462 11594 16151 17193 17391 17714 26571 32302 34386 34782 48453 51579 52173 53142 79713 96906 97427 103158 104346 145359 159426 177661 194854 274567 290718 292281 355322 532983 549134 584562 823701 876843 1065966 1598949 1647402 1753686 2471103 3020237 3197898 4942206 6040474 9060711 18121422 27182133 54364266