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51072 = 273719
BaseRepresentation
bin1100011110000000
32121001120
430132000
53113242
61032240
7301620
oct143600
977046
1051072
113540a
1225680
131a328
1414880
15101ec
hexc780

51072 has 64 divisors (see below), whose sum is σ = 163200. Its totient is φ = 13824.

The previous prime is 51071. The next prime is 51109. The reversal of 51072 is 27015.

Adding to 51072 its reverse (27015), we get a palindrome (78087).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2679 + ... + 2697.

It is an arithmetic number, because the mean of its divisors is an integer number (2550).

251072 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 51072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81600).

51072 is an abundant number, since it is smaller than the sum of its proper divisors (112128).

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

51072 is a wasteful number, since it uses less digits than its factorization.

51072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 51072 is about 225.9911502692. The cubic root of 51072 is about 37.1017409209.

The spelling of 51072 in words is "fifty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 128 133 152 168 192 224 228 266 304 336 384 399 448 456 532 608 672 798 896 912 1064 1216 1344 1596 1824 2128 2432 2688 3192 3648 4256 6384 7296 8512 12768 17024 25536 51072