Search a number
-
+
51388141 = 71923107157
BaseRepresentation
bin1100010000000…
…1111011101101
310120200210021111
43010001323231
5101123410031
65033232021
71162535440
oct304017355
9116623244
1051388141
1127009742
1215262611
13a8531ac
146b79657
1547a11b1
hex3101eed

51388141 has 32 divisors (see below), whose sum is σ = 65525760. Its totient is φ = 39289536.

The previous prime is 51388121. The next prime is 51388147. The reversal of 51388141 is 14188315.

51388141 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-51388141 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51388147) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 327235 + ... + 327391.

It is an arithmetic number, because the mean of its divisors is an integer number (2047680).

Almost surely, 251388141 is an apocalyptic number.

It is an amenable number.

51388141 is a deficient number, since it is larger than the sum of its proper divisors (14137619).

51388141 is a wasteful number, since it uses less digits than its factorization.

51388141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313.

The product of its digits is 3840, while the sum is 31.

The square root of 51388141 is about 7168.5522248220. The cubic root of 51388141 is about 371.7813804867.

It can be divided in two parts, 51388 and 141, that added together give a square (51529 = 2272).

The spelling of 51388141 in words is "fifty-one million, three hundred eighty-eight thousand, one hundred forty-one".

Divisors: 1 7 19 23 107 133 157 161 437 749 1099 2033 2461 2983 3059 3611 14231 16799 17227 20881 25277 46759 68609 117593 319181 327313 386377 480263 2234267 2704639 7341163 51388141