Search a number
-
+
51018720 = 2535157677
BaseRepresentation
bin1100001010011…
…1101111100000
310120000000112020
43002213233200
5101030044340
65021301440
71156436424
oct302475740
9116000466
1051018720
1126887135
1215104880
13a753cbc
146ac0b84
15472b9d0
hex30a7be0

51018720 has 96 divisors (see below), whose sum is σ = 161971488. Its totient is φ = 13498368.

The previous prime is 51018707. The next prime is 51018727. The reversal of 51018720 is 2781015.

51018720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51018727) 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 15 ways as a sum of consecutive naturals, for example, 75022 + ... + 75698.

It is an arithmetic number, because the mean of its divisors is an integer number (1687203).

Almost surely, 251018720 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 51018720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80985744).

51018720 is an abundant number, since it is smaller than the sum of its proper divisors (110952768).

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

51018720 is a wasteful number, since it uses less digits than its factorization.

51018720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 51018720 is about 7142.7389704510. The cubic root of 51018720 is about 370.8883451051. Note that the first 3 decimals are identical.

Adding to 51018720 its reverse (2781015), we get a palindrome (53799735).

The spelling of 51018720 in words is "fifty-one million, eighteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 157 160 240 314 471 480 628 677 785 942 1256 1354 1570 1884 2031 2355 2512 2708 3140 3385 3768 4062 4710 5024 5416 6280 6770 7536 8124 9420 10155 10832 12560 13540 15072 16248 18840 20310 21664 25120 27080 32496 37680 40620 54160 64992 75360 81240 106289 108320 162480 212578 318867 324960 425156 531445 637734 850312 1062890 1275468 1594335 1700624 2125780 2550936 3188670 3401248 4251560 5101872 6377340 8503120 10203744 12754680 17006240 25509360 51018720