Search a number
-
+
50305536 = 29341213
BaseRepresentation
bin1011111111100…
…1101000000000
310111122210020000
42333321220000
5100334234121
64554120000
71150406241
oct277715000
9114583200
1050305536
112643a326
1214a20000
13a5644b8
146976cc8
15463a526
hex2ff9a00

50305536 has 100 divisors (see below), whose sum is σ = 150272562. Its totient is φ = 16754688.

The previous prime is 50305523. The next prime is 50305537. The reversal of 50305536 is 63550305.

It is a happy number.

50305536 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., 49787136 + 518400 = 7056^2 + 720^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (50305537) 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, 40866 + ... + 42078.

Almost surely, 250305536 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 50305536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75136281).

50305536 is an abundant number, since it is smaller than the sum of its proper divisors (99967026).

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

50305536 is an equidigital number, since it uses as much as digits as its factorization.

50305536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 27.

The square root of 50305536 is about 7092.6395650703. The cubic root of 50305536 is about 369.1520293635.

The spelling of 50305536 in words is "fifty million, three hundred five thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1213 1296 1536 1728 2304 2426 2592 3456 3639 4608 4852 5184 6912 7278 9704 10368 10917 13824 14556 19408 20736 21834 29112 32751 38816 41472 43668 58224 65502 77632 87336 98253 116448 131004 155264 174672 196506 232896 262008 310528 349344 393012 465792 524016 621056 698688 786024 931584 1048032 1397376 1572048 1863168 2096064 2794752 3144096 4192128 5589504 6288192 8384256 12576384 16768512 25152768 50305536