Search a number
-
+
50427468 = 22337213733
BaseRepresentation
bin1100000001011…
…1011001001100
310111212222111000
43000113121030
5100402134333
65000500300
71151424600
oct300273114
9114788430
1050427468
11265129a3
1214a7a690
13a5a7b50
1469a9500
154661713
hex301764c

50427468 has 144 divisors (see below), whose sum is σ = 164004960. Its totient is φ = 13281408.

The previous prime is 50427449. The next prime is 50427479. The reversal of 50427468 is 86472405.

It is a super-3 number, since 3×504274683 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68430 + ... + 69162.

Almost surely, 250427468 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 50427468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82002480).

50427468 is an abundant number, since it is smaller than the sum of its proper divisors (113577492).

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

50427468 is a wasteful number, since it uses less digits than its factorization.

50427468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 50427468 is about 7101.2300342969. The cubic root of 50427468 is about 369.4500424719.

It can be divided in two parts, 504 and 27468, that added together give a palindrome (27972).

The spelling of 50427468 in words is "fifty million, four hundred twenty-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 84 91 98 108 117 126 147 156 182 189 196 234 252 273 294 351 364 378 441 468 546 588 637 702 733 756 819 882 1092 1274 1323 1404 1466 1638 1764 1911 2199 2457 2548 2646 2932 3276 3822 4398 4914 5131 5292 5733 6597 7644 8796 9529 9828 10262 11466 13194 15393 17199 19058 19791 20524 22932 26388 28587 30786 34398 35917 38116 39582 46179 57174 61572 66703 68796 71834 79164 85761 92358 107751 114348 133406 138537 143668 171522 184716 200109 215502 257283 266812 277074 323253 343044 400218 431004 466921 514566 554148 600327 646506 800436 933842 969759 1029132 1200654 1293012 1400763 1800981 1867684 1939518 2401308 2801526 3601962 3879036 4202289 5603052 7203924 8404578 12606867 16809156 25213734 50427468