Search a number
-
+
41085252 = 22331322251
BaseRepresentation
bin1001110010111…
…0100101000100
32212022100101000
42130232211010
541004212002
64024333300
71006135035
oct234564504
985270330
1041085252
1121211a5a
1211914230
138686800
145656a8c
15391861c
hex272e944

41085252 has 72 divisors (see below), whose sum is σ = 115392480. Its totient is φ = 12636000.

The previous prime is 41085241. The next prime is 41085307. The reversal of 41085252 is 25258014.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

41085252 is a modest number, since divided by 5252 gives 4108 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17127 + ... + 19377.

Almost surely, 241085252 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 41085252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57696240).

41085252 is an abundant number, since it is smaller than the sum of its proper divisors (74307228).

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

41085252 is a wasteful number, since it uses less digits than its factorization.

41085252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2290 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 41085252 is about 6409.7778432641. Note that the first 3 decimals coincide. The cubic root of 41085252 is about 345.0605564779.

The spelling of 41085252 in words is "forty-one million, eighty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 2251 3042 4502 4563 6084 6753 9004 9126 13506 18252 20259 27012 29263 40518 58526 60777 81036 87789 117052 121554 175578 243108 263367 351156 380419 526734 760838 790101 1053468 1141257 1521676 1580202 2282514 3160404 3423771 4565028 6847542 10271313 13695084 20542626 41085252