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56118132 = 223272291097
BaseRepresentation
bin1101011000010…
…0101101110100
310220121002121100
43112010231310
5103331240012
65322450100
71250665500
oct326045564
9126532540
1056118132
112974a424
1216963930
13b81b0c5
14764b300
154dd78dc
hex3584b74

56118132 has 108 divisors (see below), whose sum is σ = 170859780. Its totient is φ = 15466752.

The previous prime is 56118131. The next prime is 56118133. The reversal of 56118132 is 23181165.

56118132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56118131) and next prime (56118133).

It can be written as a sum of positive squares in 2 ways, for example, as 22524516 + 33593616 = 4746^2 + 5796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 56118096 and 56118105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56118131) 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 35 ways as a sum of consecutive naturals, for example, 50608 + ... + 51704.

It is an arithmetic number, because the mean of its divisors is an integer number (1582035).

Almost surely, 256118132 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 56118132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85429890).

56118132 is an abundant number, since it is smaller than the sum of its proper divisors (114741648).

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

56118132 is a wasteful number, since it uses less digits than its factorization.

56118132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1138 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 56118132 is about 7491.2036416053. The cubic root of 56118132 is about 382.8550694973.

Adding to 56118132 its reverse (23181165), we get a palindrome (79299297).

The spelling of 56118132 in words is "fifty-six million, one hundred eighteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 348 406 441 522 588 609 812 882 1044 1097 1218 1421 1764 1827 2194 2436 2842 3291 3654 4263 4388 5684 6582 7308 7679 8526 9873 12789 13164 15358 17052 19746 23037 25578 30716 31813 39492 46074 51156 53753 63626 69111 92148 95439 107506 127252 138222 161259 190878 215012 222691 276444 286317 322518 381756 445382 483777 572634 645036 668073 890764 967554 1145268 1336146 1558837 1935108 2004219 2672292 3117674 4008438 4676511 6235348 8016876 9353022 14029533 18706044 28059066 56118132