Search a number
-
+
53892216 = 233471092
BaseRepresentation
bin1100110110010…
…1010001111000
310202102000020000
43031211101320
5102244022331
65203033000
71223035110
oct315452170
9122360200
1053892216
112846a024
121606b760
13b21bbb1
14722c040
154ae80e6
hex3365478

53892216 has 120 divisors (see below), whose sum is σ = 174109320. Its totient is φ = 15256512.

The previous prime is 53892211. The next prime is 53892217. The reversal of 53892216 is 61229835.

53892216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53892211) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 494370 + ... + 494478.

It is an arithmetic number, because the mean of its divisors is an integer number (1450911).

Almost surely, 253892216 is an apocalyptic number.

53892216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53892216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87054660).

53892216 is an abundant number, since it is smaller than the sum of its proper divisors (120217104).

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

53892216 is a wasteful number, since it uses less digits than its factorization.

53892216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 121 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 53892216 is about 7341.1317928505. The cubic root of 53892216 is about 377.7246672229.

The spelling of 53892216 in words is "fifty-three million, eight hundred ninety-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 109 126 162 168 189 216 218 252 324 327 378 436 504 567 648 654 756 763 872 981 1134 1308 1512 1526 1962 2268 2289 2616 2943 3052 3924 4536 4578 5886 6104 6867 7848 8829 9156 11772 11881 13734 17658 18312 20601 23544 23762 27468 35316 35643 41202 47524 54936 61803 70632 71286 82404 83167 95048 106929 123606 142572 164808 166334 213858 247212 249501 285144 320787 332668 427716 494424 499002 641574 665336 748503 855432 962361 998004 1283148 1497006 1924722 1996008 2245509 2566296 2994012 3849444 4491018 5988024 6736527 7698888 8982036 13473054 17964072 26946108 53892216