[go: up one dir, main page]

Search a number
-
+
51211040 = 2551013169
BaseRepresentation
bin1100001101011…
…0101100100000
310120100210100012
43003112230200
5101102223130
65025344052
71161200216
oct303265440
9116323305
1051211040
11269a8681
1215198028
13a7c06ba
146b30cb6
154768995
hex30d6b20

51211040 has 48 divisors (see below), whose sum is σ = 122222520. Its totient is φ = 20275200.

The previous prime is 51211031. The next prime is 51211049. The reversal of 51211040 is 4011215.

It is an interprime number because it is at equal distance from previous prime (51211031) and next prime (51211049).

It can be written as a sum of positive squares in 4 ways, for example, as 51208336 + 2704 = 7156^2 + 52^2 .

It is not an unprimeable number, because it can be changed into a prime (51211049) 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, 14576 + ... + 17744.

Almost surely, 251211040 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 51211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61111260).

51211040 is an abundant number, since it is smaller than the sum of its proper divisors (71011480).

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

51211040 is a wasteful number, since it uses less digits than its factorization.

51211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3277 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 51211040 is about 7156.1889298704. The cubic root of 51211040 is about 371.3537939068.

Adding to 51211040 its reverse (4011215), we get a palindrome (55222255).

The spelling of 51211040 in words is "fifty-one million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 101 160 202 404 505 808 1010 1616 2020 3169 3232 4040 6338 8080 12676 15845 16160 25352 31690 50704 63380 101408 126760 253520 320069 507040 640138 1280276 1600345 2560552 3200690 5121104 6401380 10242208 12802760 25605520 51211040