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51014144 = 29175861
BaseRepresentation
bin1100001010011…
…0101000000000
310112222210020202
43002212220000
5101024423034
65021224332
71156420166
oct302465000
9115883222
1051014144
1126883755
12151020a8
13a751bac
146abd236
15472a47e
hex30a6a00

51014144 has 40 divisors (see below), whose sum is σ = 107942868. Its totient is φ = 24002560.

The previous prime is 51014141. The next prime is 51014153. The reversal of 51014144 is 44141015.

It can be written as a sum of positive squares in 2 ways, for example, as 50239744 + 774400 = 7088^2 + 880^2 .

It is not an unprimeable number, because it can be changed into a prime (51014141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5774 + ... + 11634.

Almost surely, 251014144 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 51014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53971434).

51014144 is an abundant number, since it is smaller than the sum of its proper divisors (56928724).

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

51014144 is an equidigital number, since it uses as much as digits as its factorization.

51014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5896 (or 5880 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 51014144 is about 7142.4186379685. The cubic root of 51014144 is about 370.8772561309.

Adding to 51014144 its reverse (44141015), we get a palindrome (95155159).

The spelling of 51014144 in words is "fifty-one million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 5861 8704 11722 23444 46888 93776 99637 187552 199274 375104 398548 750208 797096 1500416 1594192 3000832 3188384 6376768 12753536 25507072 51014144