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51593472 = 283272457
BaseRepresentation
bin1100010011010…
…0000100000000
310121002012221100
43010310010000
5101201442342
65041454400
71164352200
oct304640400
9117065840
1051593472
1127139a37
1215341400
13a8c57a8
146bd0400
1547e1e4c
hex3134100

51593472 has 162 divisors, whose sum is σ = 173422158. Its totient is φ = 14708736.

The previous prime is 51593467. The next prime is 51593473. The reversal of 51593472 is 27439515.

It can be written as a sum of positive squares in only one way, i.e., 49787136 + 1806336 = 7056^2 + 1344^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51593473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 112668 + ... + 113124.

Almost surely, 251593472 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 51593472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86711079).

51593472 is an abundant number, since it is smaller than the sum of its proper divisors (121828686).

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

51593472 is a wasteful number, since it uses less digits than its factorization.

51593472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 469 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 51593472 is about 7182.8595976811. The cubic root of 51593472 is about 372.2758966120.

The spelling of 51593472 in words is "fifty-one million, five hundred ninety-three thousand, four hundred seventy-two".