Search a number
-
+
41755842 = 23217612237
BaseRepresentation
bin1001111101001…
…0010011000010
32220120102020200
42133102103002
541142141332
64050550030
71014630102
oct237222302
986512220
1041755842
112162a867
1211b98316
13885cacb
14578d202
1539ec17c
hex27d24c2

41755842 has 48 divisors (see below), whose sum is σ = 97406712. Its totient is φ = 12879360.

The previous prime is 41755841. The next prime is 41755897. The reversal of 41755842 is 24855714.

41755842 is a `hidden beast` number, since 4 + 1 + 75 + 584 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 35748441 + 6007401 = 5979^2 + 2451^2 .

It is a super-2 number, since 2×417558422 = 3487100682257928, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41755797 and 41755806.

It is not an unprimeable number, because it can be changed into a prime (41755841) 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, 17548 + ... + 19784.

Almost surely, 241755842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41755842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48703356).

41755842 is an abundant number, since it is smaller than the sum of its proper divisors (55650870).

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

41755842 is a wasteful number, since it uses less digits than its factorization.

41755842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2320 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 41755842 is about 6461.8760433794. The cubic root of 41755842 is about 346.9277838350.

The spelling of 41755842 in words is "forty-one million, seven hundred fifty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 2237 3111 4474 6222 6711 9333 13422 18666 20133 38029 40266 76058 114087 136457 228174 272914 342261 409371 684522 818742 1228113 2319769 2456226 4639538 6959307 13918614 20877921 41755842