Search a number
-
+
51704640 = 26325131381
BaseRepresentation
bin1100010100111…
…1001101000000
310121021212102200
43011033031000
5101214022030
65044113200
71165324251
oct305171500
9117255380
1051704640
1127205509
1215395800
13a934280
146c1cb28
154814d60
hex314f340

51704640 has 168 divisors, whose sum is σ = 191661288. Its totient is φ = 12718080.

The previous prime is 51704629. The next prime is 51704663. The reversal of 51704640 is 4640715.

51704640 is a `hidden beast` number, since 5 + 17 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 553536 + 51151104 = 744^2 + 7152^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36750 + ... + 38130.

It is an arithmetic number, because the mean of its divisors is an integer number (1140841).

Almost surely, 251704640 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 51704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95830644).

51704640 is an abundant number, since it is smaller than the sum of its proper divisors (139956648).

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

51704640 is a wasteful number, since it uses less digits than its factorization.

51704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 51704640 is about 7190.5938558648. The cubic root of 51704640 is about 372.5430846671.

The spelling of 51704640 in words is "fifty-one million, seven hundred four thousand, six hundred forty".