Search a number
-
+
41233896 = 23321124733
BaseRepresentation
bin1001110101001…
…0110111101000
32212120220021100
42131102313220
541023441041
64031441400
71010324304
oct235226750
985526240
1041233896
1121303700
1211986260
138709372
145694d04
1539476b6
hex2752de8

41233896 has 72 divisors (see below), whose sum is σ = 122776290. Its totient is φ = 12492480.

The previous prime is 41233879. The next prime is 41233897. The reversal of 41233896 is 69833214.

It can be written as a sum of positive squares in only one way, i.e., 39312900 + 1920996 = 6270^2 + 1386^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41233896.

It is not an unprimeable number, because it can be changed into a prime (41233897) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6346 + ... + 11078.

Almost surely, 241233896 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 41233896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61388145).

41233896 is an abundant number, since it is smaller than the sum of its proper divisors (81542394).

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

41233896 is a wasteful number, since it uses less digits than its factorization.

41233896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4767 (or 4749 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 41233896 is about 6421.3624722484. The cubic root of 41233896 is about 345.4761918275.

The spelling of 41233896 in words is "forty-one million, two hundred thirty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 4733 8712 9466 14199 18932 28398 37864 42597 52063 56796 85194 104126 113592 156189 170388 208252 312378 340776 416504 468567 572693 624756 937134 1145386 1249512 1718079 1874268 2290772 3436158 3748536 4581544 5154237 6872316 10308474 13744632 20616948 41233896