Search a number
-
+
84861036 = 2232131791013
BaseRepresentation
bin1010000111011…
…10000001101100
312220200101110100
411003232001230
5133211023121
612230511100
72050210161
oct503560154
9186611410
1084861036
11439a1397
1224505490
1314772b40
14b3b0068
1576b4026
hex50ee06c

84861036 has 72 divisors (see below), whose sum is σ = 232530480. Its totient is φ = 25939584.

The previous prime is 84861031. The next prime is 84861037. The reversal of 84861036 is 63016848.

It is a happy number.

84861036 is a `hidden beast` number, since 8 + 4 + 8 + 610 + 36 = 666.

It is a super-3 number, since 3×848610363 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (84861031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83266 + ... + 84278.

It is an arithmetic number, because the mean of its divisors is an integer number (3229590).

Almost surely, 284861036 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 84861036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116265240).

84861036 is an abundant number, since it is smaller than the sum of its proper divisors (147669444).

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

84861036 is a wasteful number, since it uses less digits than its factorization.

84861036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 84861036 is about 9212.0049934854. The cubic root of 84861036 is about 439.4432282705.

The spelling of 84861036 in words is "eighty-four million, eight hundred sixty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 179 234 358 468 537 716 1013 1074 1611 2026 2148 2327 3039 3222 4052 4654 6078 6444 6981 9117 9308 12156 13169 13962 18234 20943 26338 27924 36468 39507 41886 52676 79014 83772 118521 158028 181327 237042 362654 474084 543981 725308 1087962 1631943 2175924 2357251 3263886 4714502 6527772 7071753 9429004 14143506 21215259 28287012 42430518 84861036