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540603828 = 22337436737
BaseRepresentation
bin100000001110001…
…111010110110100
31101200020112001000
4200032033112310
52101343310303
6125351003300
716253025312
oct4016172664
91350215030
10540603828
1125817a726
12131069530
138800072b
1451b250b2
15326d8da3
hex2038f5b4

540603828 has 48 divisors (see below), whose sum is σ = 1403660160. Its totient is φ = 179932032.

The previous prime is 540603797. The next prime is 540603839. The reversal of 540603828 is 828306045.

540603828 is a `hidden beast` number, since 5 + 40 + 603 + 8 + 2 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 540603792 and 540603801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76876 + ... + 83612.

It is an arithmetic number, because the mean of its divisors is an integer number (29242920).

Almost surely, 2540603828 is an apocalyptic number.

It is an amenable number.

540603828 is an abundant number, since it is smaller than the sum of its proper divisors (863056332).

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

540603828 is a wasteful number, since it uses less digits than its factorization.

540603828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7493 (or 7485 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 540603828 is about 23250.8887572067. Note that the first 3 decimals coincide. The cubic root of 540603828 is about 814.6286980923.

The spelling of 540603828 in words is "five hundred forty million, six hundred three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 743 1486 2229 2972 4458 6687 6737 8916 13374 13474 20061 20211 26748 26948 40122 40422 60633 80244 80844 121266 181899 242532 363798 727596 5005591 10011182 15016773 20022364 30033546 45050319 60067092 90100638 135150957 180201276 270301914 540603828