Search a number
-
+
50227776 = 26349689
BaseRepresentation
bin1011111110011…
…0101001000000
310111111211120000
42333212221000
5100324242101
64552320000
71146633444
oct277465100
9114454500
1050227776
1126396965
12149a3000
13a537ca1
146956824
154622486
hex2fe6a40

50227776 has 70 divisors (see below), whose sum is σ = 148906230. Its totient is φ = 16740864.

The previous prime is 50227763. The next prime is 50227777. The reversal of 50227776 is 67772205.

50227776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 6350400 = 6624^2 + 2520^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 50227776.

It is not an unprimeable number, because it can be changed into a prime (50227777) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 340 + ... + 10028.

Almost surely, 250227776 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 50227776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74453115).

50227776 is an abundant number, since it is smaller than the sum of its proper divisors (98678454).

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

50227776 is an equidigital number, since it uses as much as digits as its factorization.

50227776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9713 (or 9694 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 50227776 is about 7087.1557059232. The cubic root of 50227776 is about 368.9617251595.

The spelling of 50227776 in words is "fifty million, two hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 9689 19378 29067 38756 58134 77512 87201 116268 155024 174402 232536 261603 310048 348804 465072 523206 620096 697608 784809 930144 1046412 1395216 1569618 1860288 2092824 2790432 3139236 4185648 5580864 6278472 8371296 12556944 16742592 25113888 50227776