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11576052 = 2232893613
BaseRepresentation
bin101100001010…
…001011110100
3210210010100200
4230022023310
510430413202
61052040500
7200252265
oct54121364
923703320
1011576052
116597294
123a63130
132524047
14177496c
151039e1c
hexb0a2f4

11576052 has 36 divisors (see below), whose sum is σ = 29598660. Its totient is φ = 3814272.

The previous prime is 11576027. The next prime is 11576057. The reversal of 11576052 is 25067511.

11576052 is a `hidden beast` number, since 1 + 1 + 57 + 605 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 10929636 = 804^2 + 3306^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11576057) 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 11 ways as a sum of consecutive naturals, for example, 1398 + ... + 5010.

It is an arithmetic number, because the mean of its divisors is an integer number (822185).

Almost surely, 211576052 is an apocalyptic number.

11576052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11576052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14799330).

11576052 is an abundant number, since it is smaller than the sum of its proper divisors (18022608).

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

11576052 is a wasteful number, since it uses less digits than its factorization.

11576052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3712 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 11576052 is about 3402.3597693366. The cubic root of 11576052 is about 226.2143527164.

It can be divided in two parts, 115 and 76052, that added together give a palindrome (76167).

The spelling of 11576052 in words is "eleven million, five hundred seventy-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 3613 7226 10839 14452 21678 32517 43356 65034 130068 321557 643114 964671 1286228 1929342 2894013 3858684 5788026 11576052