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50105034 = 2337415361
BaseRepresentation
bin1011111100100…
…0101011001010
310111021121012000
42333020223022
5100311330114
64545531430
71145612550
oct277105312
9114247160
1050105034
1126312721
1214943b76
13a4c4165
146923bd0
1545eae09
hex2fc8aca

50105034 has 128 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 13478400.

The previous prime is 50104987. The next prime is 50105053. The reversal of 50105034 is 43050105.

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

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 50104998 and 50105016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 821364 + ... + 821424.

It is an arithmetic number, because the mean of its divisors is an integer number (1054620).

Almost surely, 250105034 is an apocalyptic number.

50105034 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 50105034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

50105034 is an abundant number, since it is smaller than the sum of its proper divisors (84886326).

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

50105034 is a wasteful number, since it uses less digits than its factorization.

50105034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 50105034 is about 7078.4909408715. The cubic root of 50105034 is about 368.6609351497.

Adding to 50105034 its reverse (43050105), we get a palindrome (93155139).

The spelling of 50105034 in words is "fifty million, one hundred five thousand, thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 53 54 61 63 82 106 122 123 126 159 183 189 246 287 318 366 369 371 378 427 477 549 574 738 742 854 861 954 1098 1107 1113 1281 1431 1647 1722 2173 2214 2226 2501 2562 2583 2862 3233 3294 3339 3843 4346 5002 5166 6466 6519 6678 7503 7686 7749 9699 10017 11529 13038 15006 15211 15498 17507 19398 19557 20034 22509 22631 23058 29097 30422 35014 39114 45018 45262 45633 52521 58194 58671 67527 67893 87291 91266 105042 117342 132553 135054 135786 136899 157563 174582 203679 265106 273798 315126 397659 407358 410697 472689 611037 795318 821394 927871 945378 1192977 1222074 1855742 2385954 2783613 3578931 5567226 7157862 8350839 16701678 25052517 50105034