Search a number
-
+
51363018 = 2337177993
BaseRepresentation
bin1100001111101…
…1110011001010
310120122111211000
43003323303022
5101122104033
65032515430
71162402260
oct303736312
9116574730
1051363018
1126aa1883
121524bb76
13a844925
146b70430
154798a13
hex30fbcca

51363018 has 64 divisors (see below), whose sum is σ = 138136320. Its totient is φ = 13810176.

The previous prime is 51363017. The next prime is 51363029. The reversal of 51363018 is 81036315.

51363018 is a `hidden beast` number, since 5 + 13 + 630 + 18 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51362982 and 51363000.

It is not an unprimeable number, because it can be changed into a prime (51363017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2430 + ... + 10422.

It is an arithmetic number, because the mean of its divisors is an integer number (2158380).

Almost surely, 251363018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51363018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69068160).

51363018 is an abundant number, since it is smaller than the sum of its proper divisors (86773302).

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

51363018 is a wasteful number, since it uses less digits than its factorization.

51363018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8028 (or 8022 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51363018 is about 7166.7997041915. The cubic root of 51363018 is about 371.7207842352.

The spelling of 51363018 in words is "fifty-one million, three hundred sixty-three thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 102 119 126 153 189 238 306 357 378 459 714 918 1071 2142 3213 6426 7993 15986 23979 47958 55951 71937 111902 135881 143874 167853 215811 271762 335706 407643 431622 503559 815286 951167 1007118 1222929 1510677 1902334 2445858 2853501 3021354 3668787 5707002 7337574 8560503 17121006 25681509 51363018