Search a number
-
+
541649304 = 233271074701
BaseRepresentation
bin100000010010001…
…110100110011000
31101202012122011100
4200102032212120
52102130234204
6125425231400
716264641330
oct4022164630
91352178140
10541649304
11258824159
12131492560
13882a8561
1451d180c0
1532843a39
hex2048e998

541649304 has 48 divisors (see below), whose sum is σ = 1676535120. Its totient is φ = 154756800.

The previous prime is 541649299. The next prime is 541649309. The reversal of 541649304 is 403946145.

541649304 is a `hidden beast` number, since 5 + 4 + 1 + 649 + 3 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (541649299) and next prime (541649309).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541649309) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 536847 + ... + 537854.

It is an arithmetic number, because the mean of its divisors is an integer number (34927815).

Almost surely, 2541649304 is an apocalyptic number.

It is an amenable number.

541649304 is an abundant number, since it is smaller than the sum of its proper divisors (1134885816).

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

541649304 is a wasteful number, since it uses less digits than its factorization.

541649304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074720 (or 1074713 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 541649304 is about 23273.3603933768. The cubic root of 541649304 is about 815.1534978801.

The spelling of 541649304 in words is "five hundred forty-one million, six hundred forty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1074701 2149402 3224103 4298804 6448206 7522907 8597608 9672309 12896412 15045814 19344618 22568721 25792824 30091628 38689236 45137442 60183256 67706163 77378472 90274884 135412326 180549768 270824652 541649304