Search a number
-
+
51742176 = 2531573433
BaseRepresentation
bin1100010101100…
…0010111100000
310121100202220220
43011120113200
5101221222201
65045003040
71165541553
oct305302740
9117322826
1051742176
1127230732
12153b3480
13a948395
146c2c69a
154821036
hex31585e0

51742176 has 48 divisors (see below), whose sum is σ = 136728144. Its totient is φ = 17132544.

The previous prime is 51742147. The next prime is 51742183. The reversal of 51742176 is 67124715.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 13356 + ... + 16788.

It is an arithmetic number, because the mean of its divisors is an integer number (2848503).

Almost surely, 251742176 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 51742176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68364072).

51742176 is an abundant number, since it is smaller than the sum of its proper divisors (84985968).

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

51742176 is a wasteful number, since it uses less digits than its factorization.

51742176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603 (or 3595 counting only the distinct ones).

The product of its digits is 11760, while the sum is 33.

The square root of 51742176 is about 7193.2034588214. The cubic root of 51742176 is about 372.6332145191.

The spelling of 51742176 in words is "fifty-one million, seven hundred forty-two thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3433 3768 5024 6866 7536 10299 13732 15072 20598 27464 41196 54928 82392 109856 164784 329568 538981 1077962 1616943 2155924 3233886 4311848 6467772 8623696 12935544 17247392 25871088 51742176