Search a number
-
+
84613122 = 23211253733
BaseRepresentation
bin1010000101100…
…01100000000010
312220012210101100
411002301200002
5133130104442
612221315230
72045125326
oct502614002
9186183340
1084613122
1143842100
1224405b16
13146b7049
14b347986
15766584c
hex50b1802

84613122 has 72 divisors (see below), whose sum is σ = 205591932. Its totient is φ = 25122240.

The previous prime is 84613091. The next prime is 84613147. The reversal of 84613122 is 22131648.

It can be written as a sum of positive squares in 2 ways, for example, as 69705801 + 14907321 = 8349^2 + 3861^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 115068 + ... + 115800.

Almost surely, 284613122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84613122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102795966).

84613122 is an abundant number, since it is smaller than the sum of its proper divisors (120978810).

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

84613122 is a wasteful number, since it uses less digits than its factorization.

84613122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 802 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 84613122 is about 9198.5391231434. The cubic root of 84613122 is about 439.0148793825.

The spelling of 84613122 in words is "eighty-four million, six hundred thirteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 121 159 198 242 318 363 477 583 726 733 954 1089 1166 1466 1749 2178 2199 3498 4398 5247 6413 6597 8063 10494 12826 13194 16126 19239 24189 38478 38849 48378 57717 72567 77698 88693 115434 116547 145134 177386 233094 266079 349641 427339 532158 699282 798237 854678 1282017 1596474 2564034 3846051 4700729 7692102 9401458 14102187 28204374 42306561 84613122