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541243824 = 243111723547
BaseRepresentation
bin100000010000101…
…011100110110000
31101201110000221120
4200100223212300
52102024300244
6125412422240
716261332222
oct4020534660
91351400846
10541243824
11258577550
12131317980
1388195b24
1451c50412
15327b3819
hex2042b9b0

541243824 has 120 divisors (see below), whose sum is σ = 1620783168. Its totient is φ = 154321920.

The previous prime is 541243811. The next prime is 541243831. The reversal of 541243824 is 428342145.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 23 ways as a sum of consecutive naturals, for example, 150819 + ... + 154365.

Almost surely, 2541243824 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 541243824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810391584).

541243824 is an abundant number, since it is smaller than the sum of its proper divisors (1079539344).

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

541243824 is a wasteful number, since it uses less digits than its factorization.

541243824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3580 counting only the distinct ones).

The product of its digits is 30720, while the sum is 33.

The square root of 541243824 is about 23264.6475150603. The cubic root of 541243824 is about 814.9500384644.

Adding to 541243824 its reverse (428342145), we get a palindrome (969585969).

The spelling of 541243824 in words is "five hundred forty-one million, two hundred forty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 289 374 408 528 561 578 748 816 867 1122 1156 1496 1734 2244 2312 2992 3179 3468 3547 4488 4624 6358 6936 7094 8976 9537 10641 12716 13872 14188 19074 21282 25432 28376 38148 39017 42564 50864 56752 60299 76296 78034 85128 117051 120598 152592 156068 170256 180897 234102 241196 312136 361794 468204 482392 624272 663289 723588 936408 964784 1025083 1326578 1447176 1872816 1989867 2050166 2653156 2894352 3075249 3979734 4100332 5306312 6150498 7959468 8200664 10612624 11275913 12300996 15918936 16401328 22551826 24601992 31837872 33827739 45103652 49203984 67655478 90207304 135310956 180414608 270621912 541243824