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541742112 = 25323160679
BaseRepresentation
bin100000010010100…
…101010000100000
31101202101100110200
4200102211100200
52102141221422
6125431225200
716265506032
oct4022452040
91352340420
10541742112
1125888795a
12131518200
138830b882
1451d3dc52
15328612ac
hex204a5420

541742112 has 72 divisors (see below), whose sum is σ = 1590301440. Its totient is φ = 174752640.

The previous prime is 541742093. The next prime is 541742119. The reversal of 541742112 is 211247145.

541742112 is a `hidden beast` number, since 541 + 7 + 4 + 2 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (541742119) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21412 + ... + 39267.

It is an arithmetic number, because the mean of its divisors is an integer number (22087520).

Almost surely, 2541742112 is an apocalyptic number.

It is an amenable number.

541742112 is an abundant number, since it is smaller than the sum of its proper divisors (1048559328).

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

541742112 is a wasteful number, since it uses less digits than its factorization.

541742112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60726 (or 60715 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 541742112 is about 23275.3541756082. The cubic root of 541742112 is about 815.2000522618.

Adding to 541742112 its reverse (211247145), we get a palindrome (752989257).

The spelling of 541742112 in words is "five hundred forty-one million, seven hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2976 4464 8928 60679 121358 182037 242716 364074 485432 546111 728148 970864 1092222 1456296 1881049 1941728 2184444 2912592 3762098 4368888 5643147 5825184 7524196 8737776 11286294 15048392 16929441 17475552 22572588 30096784 33858882 45145176 60193568 67717764 90290352 135435528 180580704 270871056 541742112