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541498272 = 25373112591
BaseRepresentation
bin100000010001101…
…001101110100000
31101201220221222120
4200101221232200
52102110421042
6125422104240
716263442110
oct4021515640
91351827876
10541498272
11258730737
1213141b080
13882548a3
1451cb9040
1532813dec
hex20469ba0

541498272 has 96 divisors (see below), whose sum is σ = 1630347264. Its totient is φ = 154156800.

The previous prime is 541498267. The next prime is 541498273. The reversal of 541498272 is 272894145.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (541498273) 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 15 ways as a sum of consecutive naturals, for example, 207697 + ... + 210287.

It is an arithmetic number, because the mean of its divisors is an integer number (16982784).

Almost surely, 2541498272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541498272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815173632).

541498272 is an abundant number, since it is smaller than the sum of its proper divisors (1088848992).

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

541498272 is a wasteful number, since it uses less digits than its factorization.

541498272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2922 (or 2914 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 541498272 is about 23270.1154273029. The cubic root of 541498272 is about 815.0777257850.

The spelling of 541498272 in words is "five hundred forty-one million, four hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 311 336 622 672 933 1244 1866 2177 2488 2591 3732 4354 4976 5182 6531 7464 7773 8708 9952 10364 13062 14928 15546 17416 18137 20728 26124 29856 31092 34832 36274 41456 52248 54411 62184 69664 72548 82912 104496 108822 124368 145096 208992 217644 248736 290192 435288 580384 805801 870576 1611602 1741152 2417403 3223204 4834806 5640607 6446408 9669612 11281214 12892816 16921821 19339224 22562428 25785632 33843642 38678448 45124856 67687284 77356896 90249712 135374568 180499424 270749136 541498272