Search a number
-
+
541241298 = 233131136823
BaseRepresentation
bin100000010000101…
…010111111010010
31101201102220111000
4200100222333102
52102024210143
6125412402430
716261321653
oct4020527722
91351386430
10541241298
11258575664
12131316416
1388194930
1451c4d52a
15327b2bd3
hex2042afd2

541241298 has 64 divisors (see below), whose sum is σ = 1306932480. Its totient is φ = 165037824.

The previous prime is 541241273. The next prime is 541241299. The reversal of 541241298 is 892142145.

541241298 is a `hidden beast` number, since 541 + 24 + 1 + 2 + 98 = 666.

It is not an unprimeable number, because it can be changed into a prime (541241299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75915 + ... + 82737.

It is an arithmetic number, because the mean of its divisors is an integer number (20420820).

Almost surely, 2541241298 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541241298, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653466240).

541241298 is an abundant number, since it is smaller than the sum of its proper divisors (765691182).

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

541241298 is a wasteful number, since it uses less digits than its factorization.

541241298 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6960 (or 6954 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 541241298 is about 23264.5932266180. The cubic root of 541241298 is about 814.9487706642.

The spelling of 541241298 in words is "five hundred forty-one million, two hundred forty-one thousand, two hundred ninety-eight".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 113 117 226 234 339 351 678 702 1017 1469 2034 2938 3051 4407 6102 6823 8814 13221 13646 20469 26442 39663 40938 61407 79326 88699 122814 177398 184221 266097 368442 532194 770999 798291 1541998 1596582 2312997 2394873 4625994 4789746 6938991 10022987 13877982 20045974 20816973 30068961 41633946 60137922 90206883 180413766 270620649 541241298