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540578052 = 223272145151
BaseRepresentation
bin100000001110001…
…001000100000100
31101200012012200100
4200032021010010
52101341444202
6125350244100
716252560210
oct4016110404
91350165610
10540578052
11258162323
12131056630
1387cc1a91
1451b19940
15326d141c
hex20389104

540578052 has 36 divisors (see below), whose sum is σ = 1561670656. Its totient is φ = 154450800.

The previous prime is 540578021. The next prime is 540578081. The reversal of 540578052 is 250875045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×5405780522 = 584449260608229408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 540577998 and 540578016.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1072324 + ... + 1072827.

Almost surely, 2540578052 is an apocalyptic number.

It is an amenable number.

540578052 is an abundant number, since it is smaller than the sum of its proper divisors (1021092604).

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

540578052 is a wasteful number, since it uses less digits than its factorization.

540578052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145168 (or 2145163 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 540578052 is about 23250.3344492074. The cubic root of 540578052 is about 814.6157507163.

The spelling of 540578052 in words is "five hundred forty million, five hundred seventy-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2145151 4290302 6435453 8580604 12870906 15016057 19306359 25741812 30032114 38612718 45048171 60064228 77225436 90096342 135144513 180192684 270289026 540578052