Search a number
-
+
50214080 = 265729773
BaseRepresentation
bin1011111110001…
…1010011000000
310111111010202202
42333203103000
5100323322310
64552132332
71146545510
oct277432300
9114433682
1050214080
1126387644
12149970a8
13a531997
146951840
15461d3a5
hex2fe34c0

50214080 has 112 divisors (see below), whose sum is σ = 141549120. Its totient is φ = 16601088.

The previous prime is 50214077. The next prime is 50214097. The reversal of 50214080 is 8041205.

50214080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 64574 + ... + 65346.

Almost surely, 250214080 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 50214080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70774560).

50214080 is an abundant number, since it is smaller than the sum of its proper divisors (91335040).

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

50214080 is a wasteful number, since it uses less digits than its factorization.

50214080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 50214080 is about 7086.1893849939. The cubic root of 50214080 is about 368.9281862191.

Adding to 50214080 its reverse (8041205), we get a palindrome (58255285).

The spelling of 50214080 in words is "fifty million, two hundred fourteen thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 140 145 160 203 224 232 280 290 320 406 448 464 560 580 773 812 928 1015 1120 1160 1546 1624 1856 2030 2240 2320 3092 3248 3865 4060 4640 5411 6184 6496 7730 8120 9280 10822 12368 12992 15460 16240 21644 22417 24736 27055 30920 32480 43288 44834 49472 54110 61840 64960 86576 89668 108220 112085 123680 156919 173152 179336 216440 224170 247360 313838 346304 358672 432880 448340 627676 717344 784595 865760 896680 1255352 1434688 1569190 1731520 1793360 2510704 3138380 3586720 5021408 6276760 7173440 10042816 12553520 25107040 50214080