Search a number
-
+
541255968 = 253211170851
BaseRepresentation
bin100000010000101…
…110100100100000
31101201110122121100
4200100232210200
52102030142333
6125412554400
716261412511
oct4020564440
91351418540
10541255968
11258585690
12131322a00
138819b506
1451c54a08
15327b7213
hex2042e920

541255968 has 72 divisors (see below), whose sum is σ = 1679133456. Its totient is φ = 164016000.

The previous prime is 541255963. The next prime is 541255973. The reversal of 541255968 is 869552145.

541255968 is a `hidden beast` number, since 54 + 1 + 2 + 5 + 596 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (541255963) and next prime (541255973).

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 (541255963) 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, 82258 + ... + 88593.

It is an arithmetic number, because the mean of its divisors is an integer number (23321298).

Almost surely, 2541255968 is an apocalyptic number.

It is an amenable number.

541255968 is an abundant number, since it is smaller than the sum of its proper divisors (1137877488).

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

541255968 is a wasteful number, since it uses less digits than its factorization.

541255968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170878 (or 170867 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The square root of 541255968 is about 23264.9085104584. The cubic root of 541255968 is about 814.9561334865.

The spelling of 541255968 in words is "five hundred forty-one million, two hundred fifty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 170851 341702 512553 683404 1025106 1366808 1537659 1879361 2050212 2733616 3075318 3758722 4100424 5467232 5638083 6150636 7517444 8200848 11276166 12301272 15034888 16401696 16914249 22552332 24602544 30069776 33828498 45104664 49205088 60139552 67656996 90209328 135313992 180418656 270627984 541255968