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541879828 = 227217162629
BaseRepresentation
bin100000010011000…
…110111000010100
31101202122100101021
4200103012320110
52102210123303
6125434210524
716266621400
oct4023067024
91352570337
10541879828
11258971376
12131583a44
1388359469
1451d78100
153288bebd
hex204c6e14

541879828 has 36 divisors (see below), whose sum is σ = 1168008660. Its totient is φ = 218572032.

The previous prime is 541879801. The next prime is 541879841. The reversal of 541879828 is 828978145.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 457018884 + 84860944 = 21378^2 + 9212^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 77983 + ... + 84646.

It is an arithmetic number, because the mean of its divisors is an integer number (32444685).

Almost surely, 2541879828 is an apocalyptic number.

It is an amenable number.

541879828 is an abundant number, since it is smaller than the sum of its proper divisors (626128832).

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

541879828 is a wasteful number, since it uses less digits than its factorization.

541879828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162664 (or 162655 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 52.

The square root of 541879828 is about 23278.3123958761. The cubic root of 541879828 is about 815.2691236128.

The spelling of 541879828 in words is "five hundred forty-one million, eight hundred seventy-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 476 833 1666 3332 162629 325258 650516 1138403 2276806 2764693 4553612 5529386 7968821 11058772 15937642 19352851 31875284 38705702 77411404 135469957 270939914 541879828