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51102414 = 23511379
BaseRepresentation
bin1100001011110…
…0001011001110
310120011021100000
43002330023032
5101040234124
65023145130
71160235426
oct302741316
9116137300
1051102414
1126934000
12151451a6
13a78311c
146b03486
1547466c9
hex30bc2ce

51102414 has 96 divisors (see below), whose sum is σ = 127895040. Its totient is φ = 15289560.

The previous prime is 51102407. The next prime is 51102427. The reversal of 51102414 is 41420115.

51102414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×511024142 = 5222913433254792, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 646827 + ... + 646905.

It is an arithmetic number, because the mean of its divisors is an integer number (1332240).

Almost surely, 251102414 is an apocalyptic number.

51102414 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51102414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63947520).

51102414 is an abundant number, since it is smaller than the sum of its proper divisors (76792626).

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

51102414 is an equidigital number, since it uses as much as digits as its factorization.

51102414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

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

The square root of 51102414 is about 7148.5952466201. The cubic root of 51102414 is about 371.0910430607.

Adding to 51102414 its reverse (41420115), we get a palindrome (92522529).

The spelling of 51102414 in words is "fifty-one million, one hundred two thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 79 81 99 121 158 162 198 237 242 243 297 363 474 486 594 711 726 869 891 1089 1331 1422 1738 1782 2133 2178 2607 2662 2673 3267 3993 4266 5214 5346 6399 6534 7821 7986 9559 9801 11979 12798 15642 19118 19197 19602 23463 23958 28677 29403 35937 38394 46926 57354 58806 70389 71874 86031 105149 107811 140778 172062 210298 211167 215622 258093 315447 323433 422334 516186 630894 646866 774279 946341 1548558 1892682 2322837 2839023 4645674 5678046 8517069 17034138 25551207 51102414