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1125758052 = 223231271057
BaseRepresentation
bin100001100011001…
…1011010001100100
32220110022102201200
41003012123101210
54301143224202
6303412522500
736616533306
oct10306332144
92813272650
101125758052
11528508761
12275020430
1314c2cbc33
14a9725976
1568c72e1c
hex4319b464

1125758052 has 18 divisors (see below), whose sum is σ = 2845666278. Its totient is φ = 375252672.

The previous prime is 1125758009. The next prime is 1125758057. The reversal of 1125758052 is 2508575211.

1125758052 is a `hidden beast` number, since 1 + 1 + 2 + 575 + 80 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 913006656 + 212751396 = 30216^2 + 14586^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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), and also a Moran number because the ratio is a prime number: 31271057 = 1125758052 / (1 + 1 + 2 + 5 + 7 + 5 + 8 + 0 + 5 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 1125757998 and 1125758016.

It is not an unprimeable number, because it can be changed into a prime (1125758057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15635493 + ... + 15635564.

It is an arithmetic number, because the mean of its divisors is an integer number (158092571).

Almost surely, 21125758052 is an apocalyptic number.

1125758052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1125758052 is an abundant number, since it is smaller than the sum of its proper divisors (1719908226).

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

1125758052 is a wasteful number, since it uses less digits than its factorization.

1125758052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31271067 (or 31271062 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 1125758052 is about 33552.3181315390. The cubic root of 1125758052 is about 1040.2754608104.

The spelling of 1125758052 in words is "one billion, one hundred twenty-five million, seven hundred fifty-eight thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 31271057 62542114 93813171 125084228 187626342 281439513 375252684 562879026 1125758052