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50944000 = 21153199
BaseRepresentation
bin1100001001010…
…1100000000000
310112212020000211
43002111200000
5101020202000
65015523504
71156005532
oct302254000
9115766024
1050944000
1126835a88
1215089594
13a728ca3
146aa1852
1547147ba
hex3095800

50944000 has 96 divisors (see below), whose sum is σ = 127764000. Its totient is φ = 20275200.

The previous prime is 50943973. The next prime is 50944007. The reversal of 50944000 is 44905.

It is a super-2 number, since 2×509440002 = 5190582272000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50944007) 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, 255901 + ... + 256099.

It is an arithmetic number, because the mean of its divisors is an integer number (1330875).

Almost surely, 250944000 is an apocalyptic number.

50944000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63882000).

50944000 is an abundant number, since it is smaller than the sum of its proper divisors (76820000).

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

50944000 is an equidigital number, since it uses as much as digits as its factorization.

50944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 50944000 is about 7137.5065674225. The cubic root of 50944000 is about 370.7071938389.

Adding to 50944000 its reverse (44905), we get a palindrome (50988905).

The spelling of 50944000 in words is "fifty million, nine hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 199 200 250 256 320 398 400 500 512 640 796 800 995 1000 1024 1280 1592 1600 1990 2000 2048 2560 3184 3200 3980 4000 4975 5120 6368 6400 7960 8000 9950 10240 12736 12800 15920 16000 19900 24875 25472 25600 31840 32000 39800 49750 50944 51200 63680 64000 79600 99500 101888 127360 128000 159200 199000 203776 254720 256000 318400 398000 407552 509440 636800 796000 1018880 1273600 1592000 2037760 2547200 3184000 5094400 6368000 10188800 12736000 25472000 50944000