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51014124 = 2234783271
BaseRepresentation
bin1100001010011…
…0100111101100
310112222210020000
43002212213230
5101024422444
65021224300
71156420140
oct302464754
9115883200
1051014124
1126883737
1215102090
13a751b95
146abd220
15472a469
hex30a69ec

51014124 has 120 divisors (see below), whose sum is σ = 154818048. Its totient is φ = 14346720.

The previous prime is 51014123. The next prime is 51014137. The reversal of 51014124 is 42141015.

51014124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 51014097 and 51014106.

It is not an unprimeable number, because it can be changed into a prime (51014123) 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 39 ways as a sum of consecutive naturals, for example, 188109 + ... + 188379.

Almost surely, 251014124 is an apocalyptic number.

51014124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51014124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77409024).

51014124 is an abundant number, since it is smaller than the sum of its proper divisors (103803924).

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

51014124 is a wasteful number, since it uses less digits than its factorization.

51014124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 51014124 is about 7142.4172378824. The cubic root of 51014124 is about 370.8772076636.

Adding to 51014124 its reverse (42141015), we get a palindrome (93155139).

The spelling of 51014124 in words is "fifty-one million, fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 83 84 108 126 162 166 189 249 252 271 324 332 378 498 542 567 581 747 756 813 996 1084 1134 1162 1494 1626 1743 1897 2241 2268 2324 2439 2988 3252 3486 3794 4482 4878 5229 5691 6723 6972 7317 7588 8964 9756 10458 11382 13446 14634 15687 17073 20916 21951 22493 22764 26892 29268 31374 34146 43902 44986 47061 51219 62748 67479 68292 87804 89972 94122 102438 134958 153657 157451 188244 202437 204876 269916 307314 314902 404874 472353 607311 614628 629804 809748 944706 1214622 1417059 1821933 1889412 2429244 2834118 3643866 4251177 5668236 7287732 8502354 12753531 17004708 25507062 51014124