[go: up one dir, main page]

Search a number
-
+
411542052 = 2231719891193
BaseRepresentation
bin11000100001111…
…010001000100100
31001200101111120020
4120201322020210
51320323321202
6104500435140
713125023025
oct3041721044
91050344506
10411542052
111a13396a9
12b59a8ab0
136735300c
143c92ac4c
15261e35bc
hex1887a224

411542052 has 96 divisors (see below), whose sum is σ = 1083196800. Its totient is φ = 120840192.

The previous prime is 411542039. The next prime is 411542093. The reversal of 411542052 is 250245114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 344368 + ... + 345560.

It is an arithmetic number, because the mean of its divisors is an integer number (11283300).

Almost surely, 2411542052 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 411542052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541598400).

411542052 is an abundant number, since it is smaller than the sum of its proper divisors (671654748).

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

411542052 is a wasteful number, since it uses less digits than its factorization.

411542052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1325 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 411542052 is about 20286.4992544303. The cubic root of 411542052 is about 743.8260880940.

Adding to 411542052 its reverse (250245114), we get a palindrome (661787166).

The spelling of 411542052 in words is "four hundred eleven million, five hundred forty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 89 102 114 178 204 228 267 323 356 534 646 969 1068 1193 1292 1513 1691 1938 2386 3026 3382 3579 3876 4539 4772 5073 6052 6764 7158 9078 10146 14316 18156 20281 20292 22667 28747 40562 45334 57494 60843 68001 81124 86241 90668 106177 114988 121686 136002 172482 212354 243372 272004 318531 344964 385339 424708 637062 770678 1156017 1274124 1541356 1805009 2017363 2312034 3610018 4034726 4624068 5415027 6052089 7220036 8069452 10830054 12104178 21660108 24208356 34295171 68590342 102885513 137180684 205771026 411542052