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50446944 = 25321091607
BaseRepresentation
bin1100000001110…
…0001001100000
310111220222012100
43000130021200
5100403300234
65001130400
71151535432
oct300341140
9114828170
1050446944
1126526599
1214a89a00
13a5b3982
1469b2652
154667399
hex301c260

50446944 has 72 divisors (see below), whose sum is σ = 144864720. Its totient is φ = 16651008.

The previous prime is 50446931. The next prime is 50446961. The reversal of 50446944 is 44964405.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 50446899 and 50446908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30589 + ... + 32195.

It is an arithmetic number, because the mean of its divisors is an integer number (2012010).

Almost surely, 250446944 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 50446944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72432360).

50446944 is an abundant number, since it is smaller than the sum of its proper divisors (94417776).

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

50446944 is a wasteful number, since it uses less digits than its factorization.

50446944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 50446944 is about 7102.6012136400. The cubic root of 50446944 is about 369.4975991123.

The spelling of 50446944 in words is "fifty million, four hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1607 1744 1962 2616 3214 3488 3924 4821 5232 6428 7848 9642 10464 12856 14463 15696 19284 25712 28926 31392 38568 51424 57852 77136 115704 154272 175163 231408 350326 462816 525489 700652 1050978 1401304 1576467 2101956 2802608 3152934 4203912 5605216 6305868 8407824 12611736 16815648 25223472 50446944