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51788334 = 23131574229
BaseRepresentation
bin1100010110001…
…1101000101110
310121110010020110
43011203220232
5101224211314
65050000450
71166123253
oct305435056
9117403213
1051788334
1127262384
1215416126
13a9633b0
146c4142a
15482ea59
hex3163a2e

51788334 has 32 divisors (see below), whose sum is σ = 112281120. Its totient is φ = 15829632.

The previous prime is 51788311. The next prime is 51788351. The reversal of 51788334 is 43388715.

51788334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 51788292 and 51788301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 10132 + ... + 14360.

It is an arithmetic number, because the mean of its divisors is an integer number (3508785).

Almost surely, 251788334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51788334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56140560).

51788334 is an abundant number, since it is smaller than the sum of its proper divisors (60492786).

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

51788334 is a wasteful number, since it uses less digits than its factorization.

51788334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404.

The product of its digits is 80640, while the sum is 39.

The square root of 51788334 is about 7196.4111889191. The cubic root of 51788334 is about 372.7439874140.

The spelling of 51788334 in words is "fifty-one million, seven hundred eighty-eight thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 157 314 471 942 2041 4082 4229 6123 8458 12246 12687 25374 54977 109954 164931 329862 663953 1327906 1991859 3983718 8631389 17262778 25894167 51788334