Search a number
-
+
50475776 = 281329523
BaseRepresentation
bin1100000010001…
…1001100000000
310111222102202012
43000203030000
5100410211101
65001512052
71152015461
oct300431400
9114872665
1050475776
112654621a
1214aa2628
13a5c3b30
1469bcd68
154670bbb
hex3023300

50475776 has 72 divisors (see below), whose sum is σ = 112460880. Its totient is φ = 22450176.

The previous prime is 50475773. The next prime is 50475779. The reversal of 50475776 is 67757405.

It is an interprime number because it is at equal distance from previous prime (50475773) and next prime (50475779).

It is a super-4 number, since 4×504757764 (a number of 32 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (50475773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96251 + ... + 96773.

Almost surely, 250475776 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 50475776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56230440).

50475776 is an abundant number, since it is smaller than the sum of its proper divisors (61985104).

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

50475776 is a wasteful number, since it uses less digits than its factorization.

50475776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 41.

The square root of 50475776 is about 7104.6306026422. The cubic root of 50475776 is about 369.5679788354.

The spelling of 50475776 in words is "fifty million, four hundred seventy-five thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 64 104 116 128 208 232 256 377 416 464 523 754 832 928 1046 1508 1664 1856 2092 3016 3328 3712 4184 6032 6799 7424 8368 12064 13598 15167 16736 24128 27196 30334 33472 48256 54392 60668 66944 96512 108784 121336 133888 197171 217568 242672 394342 435136 485344 788684 870272 970688 1577368 1740544 1941376 3154736 3882752 6309472 12618944 25237888 50475776