Search a number
-
+
52654168 = 23717194171
BaseRepresentation
bin1100100011011…
…1000001011000
310200002002221101
43020313001120
5101434413133
65120321144
71206360460
oct310670130
9120062841
1052654168
11277a3946
12157731b4
13aba7518
146dc8ba0
15495137d
hex3237058

52654168 has 128 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 19353600.

The previous prime is 52654157. The next prime is 52654183. The reversal of 52654168 is 86145625.

It is a super-2 number, since 2×526541682 = 5544922815544448, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 741573 + ... + 741643.

It is an arithmetic number, because the mean of its divisors is an integer number (1020600).

Almost surely, 252654168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52654168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

52654168 is an abundant number, since it is smaller than the sum of its proper divisors (77982632).

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

52654168 is a wasteful number, since it uses less digits than its factorization.

52654168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 157 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 52654168 is about 7256.3191771035. The cubic root of 52654168 is about 374.8097832336.

The spelling of 52654168 in words is "fifty-two million, six hundred fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 41 56 68 71 76 82 119 133 136 142 152 164 238 266 284 287 323 328 476 497 532 568 574 646 697 779 952 994 1064 1148 1207 1292 1349 1394 1558 1988 2261 2296 2414 2584 2698 2788 2911 3116 3976 4522 4828 4879 5396 5453 5576 5822 6232 8449 9044 9443 9656 9758 10792 10906 11644 13243 16898 18088 18886 19516 20377 21812 22933 23288 26486 33796 37772 39032 40754 43624 45866 49487 52972 55309 67592 75544 81508 91732 92701 98974 105944 110618 160531 163016 183464 185402 197948 221236 321062 346409 370804 387163 395896 442472 642124 692818 741608 774326 940253 1284248 1385636 1548652 1880506 2771272 3097304 3761012 6581771 7522024 13163542 26327084 52654168