Search a number
-
+
50506080 = 2535432447
BaseRepresentation
bin1100000010101…
…0100101100000
310112000222022120
43000222211200
5100412143310
65002304240
71152203022
oct300524540
9115028276
1050506080
1126566a69
1214ab8080
13a604871
1469ca012
154679b70
hex302a960

50506080 has 96 divisors (see below), whose sum is σ = 162860544. Its totient is φ = 13149696.

The previous prime is 50506061. The next prime is 50506087. The reversal of 50506080 is 8060505.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 50506080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50506087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19417 + ... + 21863.

It is an arithmetic number, because the mean of its divisors is an integer number (1696464).

Almost surely, 250506080 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 50506080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81430272).

50506080 is an abundant number, since it is smaller than the sum of its proper divisors (112354464).

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

50506080 is a wasteful number, since it uses less digits than its factorization.

50506080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2508 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 50506080 is about 7106.7629762079. The cubic root of 50506080 is about 369.6419228697.

Adding to 50506080 its reverse (8060505), we get a palindrome (58566585).

The spelling of 50506080 in words is "fifty million, five hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2447 2580 3440 4128 4894 5160 6880 7341 9788 10320 12235 14682 19576 20640 24470 29364 36705 39152 48940 58728 73410 78304 97880 105221 117456 146820 195760 210442 234912 293640 315663 391520 420884 526105 587280 631326 841768 1052210 1174560 1262652 1578315 1683536 2104420 2525304 3156630 3367072 4208840 5050608 6313260 8417680 10101216 12626520 16835360 25253040 50506080