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50938944 = 2637151251
BaseRepresentation
bin1100001001010…
…0010001000000
310112211222002120
43002110101000
5101020021234
65015444240
71155655020
oct302242100
9115758076
1050938944
1126832201
1215086680
13a7268b4
146a9da80
154713049
hex3094440

50938944 has 112 divisors (see below), whose sum is σ = 155667456. Its totient is φ = 14400000.

The previous prime is 50938939. The next prime is 50938969. The reversal of 50938944 is 44983905.

50938944 = T235 + T236 + ... + T682.

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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 50938896 and 50938905.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 202819 + ... + 203069.

It is an arithmetic number, because the mean of its divisors is an integer number (1389888).

Almost surely, 250938944 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 50938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77833728).

50938944 is an abundant number, since it is smaller than the sum of its proper divisors (104728512).

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

50938944 is a wasteful number, since it uses less digits than its factorization.

50938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 50938944 is about 7137.1523733209. The cubic root of 50938944 is about 370.6949296692.

The spelling of 50938944 in words is "fifty million, nine hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 151 168 192 224 251 302 336 448 453 502 604 672 753 906 1004 1057 1208 1344 1506 1757 1812 2008 2114 2416 3012 3171 3514 3624 4016 4228 4832 5271 6024 6342 7028 7248 8032 8456 9664 10542 12048 12684 14056 14496 16064 16912 21084 24096 25368 28112 28992 33824 37901 42168 48192 50736 56224 67648 75802 84336 101472 112448 113703 151604 168672 202944 227406 265307 303208 337344 454812 530614 606416 795921 909624 1061228 1212832 1591842 1819248 2122456 2425664 3183684 3638496 4244912 6367368 7276992 8489824 12734736 16979648 25469472 50938944