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112895946 = 232171372693
BaseRepresentation
bin1101011101010…
…10011111001010
321212102201010100
412232222133022
5212400132241
615111430230
72540412462
oct656523712
9255381110
10112895946
11587aa439
1231985376
131a50a547
1410dcaba2
159da09b6
hex6baa7ca

112895946 has 48 divisors (see below), whose sum is σ = 260983944. Its totient is φ = 35146752.

The previous prime is 112895911. The next prime is 112895947. The reversal of 112895946 is 649598211.

It can be written as a sum of positive squares in 4 ways, for example, as 106193025 + 6702921 = 10305^2 + 2589^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (112895947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40576 + ... + 43268.

Almost surely, 2112895946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112895946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130491972).

112895946 is an abundant number, since it is smaller than the sum of its proper divisors (148087998).

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

112895946 is a wasteful number, since it uses less digits than its factorization.

112895946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2852 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The square root of 112895946 is about 10625.2503970495. The cubic root of 112895946 is about 483.3103723800.

It can be divided in two parts, 11289594 and 6, that added together give a square (11289600 = 33602).

The spelling of 112895946 in words is "one hundred twelve million, eight hundred ninety-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 411 822 1233 2329 2466 2693 4658 5386 6987 8079 13974 16158 20961 24237 41922 45781 48474 91562 137343 274686 368941 412029 737882 824058 1106823 2213646 3320469 6271997 6640938 12543994 18815991 37631982 56447973 112895946