Search a number
-
+
84216363 = 3711323131
BaseRepresentation
bin1010000010100…
…00101000101011
312212110122010120
411001100220223
5133024410423
612205014323
72041553520
oct501205053
9185418116
1084216363
11435a1000
12242543a3
13145a858a
14b283147
1575d7ee3
hex5050a2b

84216363 has 64 divisors (see below), whose sum is σ = 148414464. Its totient is φ = 41527200.

The previous prime is 84216361. The next prime is 84216371. The reversal of 84216363 is 36361248.

It is not a de Polignac number, because 84216363 - 21 = 84216361 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (84216361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 642808 + ... + 642938.

It is an arithmetic number, because the mean of its divisors is an integer number (2318976).

Almost surely, 284216363 is an apocalyptic number.

84216363 is a deficient number, since it is larger than the sum of its proper divisors (64198101).

84216363 is a wasteful number, since it uses less digits than its factorization.

84216363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 84216363 is about 9176.9473682701. The cubic root of 84216363 is about 438.3276098212.

It can be divided in two parts, 842 and 16363, that added together give a triangular number (17205 = T185).

The spelling of 84216363 in words is "eighty-four million, two hundred sixteen thousand, three hundred sixty-three".

Divisors: 1 3 7 11 21 23 33 69 77 121 131 161 231 253 363 393 483 759 847 917 1331 1441 1771 2541 2751 2783 3013 3993 4323 5313 8349 9039 9317 10087 15851 19481 21091 27951 30261 30613 33143 47553 58443 63273 91839 99429 110957 174361 214291 232001 332871 364573 523083 642873 696003 1093719 1220527 2552011 3661581 4010303 7656033 12030909 28072121 84216363