Search a number
-
+
51047584 = 257281811
BaseRepresentation
bin1100001010111…
…0110010100000
310120001111010021
43002232302200
5101032010314
65022043224
71156616530
oct302566240
9116044107
1051047584
11268a6895
1215119514
13a764193
146acb4c0
154735324
hex30aeca0

51047584 has 48 divisors (see below), whose sum is σ = 115407936. Its totient is φ = 21772800.

The previous prime is 51047561. The next prime is 51047587. The reversal of 51047584 is 48574015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51047587) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62539 + ... + 63349.

It is an arithmetic number, because the mean of its divisors is an integer number (2404332).

Almost surely, 251047584 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 51047584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57703968).

51047584 is an abundant number, since it is smaller than the sum of its proper divisors (64360352).

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

51047584 is a wasteful number, since it uses less digits than its factorization.

51047584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 34.

The square root of 51047584 is about 7144.7591981816. The cubic root of 51047584 is about 370.9582756650.

The spelling of 51047584 in words is "fifty-one million, forty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 281 562 811 1124 1622 1967 2248 3244 3934 4496 5677 6488 7868 8992 11354 12976 15736 22708 25952 31472 45416 62944 90832 181664 227891 455782 911564 1595237 1823128 3190474 3646256 6380948 7292512 12761896 25523792 51047584