Search a number
-
+
546004242 = 2327127149229
BaseRepresentation
bin100000100010110…
…101110100010010
31102001101220000100
4200202311310102
52104234113432
6130102433230
716346650050
oct4042656422
91361356010
10546004242
11260229083
12132a32816
1389171844
145272d1d0
1532e0407c
hex208b5d12

546004242 has 96 divisors (see below), whose sum is σ = 1377792000. Its totient is φ = 153062784.

The previous prime is 546004223. The next prime is 546004247. The reversal of 546004242 is 242400645.

546004242 is a `hidden beast` number, since 54 + 600 + 4 + 2 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (546004247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2384184 + ... + 2384412.

It is an arithmetic number, because the mean of its divisors is an integer number (14352000).

Almost surely, 2546004242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 546004242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688896000).

546004242 is an abundant number, since it is smaller than the sum of its proper divisors (831787758).

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

546004242 is a wasteful number, since it uses less digits than its factorization.

546004242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 546004242 is about 23366.7336613400. The cubic root of 546004242 is about 817.3323192265.

Adding to 546004242 its reverse (242400645), we get a palindrome (788404887).

The spelling of 546004242 in words is "five hundred forty-six million, four thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 127 149 229 254 298 381 447 458 687 762 889 894 1043 1143 1341 1374 1603 1778 2061 2086 2286 2667 2682 3129 3206 4122 4809 5334 6258 8001 9387 9618 14427 16002 18774 18923 28854 29083 34121 37846 56769 58166 68242 87249 102363 113538 132461 170307 174498 203581 204726 238847 261747 264922 307089 340614 397383 407162 477694 523494 610743 614178 716541 794766 1192149 1221486 1433082 1832229 2149623 2384298 3664458 4299246 4333367 8666734 13000101 26000202 30333569 39000303 60667138 78000606 91000707 182001414 273002121 546004242