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50382648 = 233653163
BaseRepresentation
bin1100000000110…
…0011100111000
310111210201000000
43000030130320
5100344221043
64555513000
71151150121
oct300143470
9114721000
1050382648
1126492258
1214a58760
13a590624
146997048
1546532d3
hex300c738

50382648 has 112 divisors (see below), whose sum is σ = 145194120. Its totient is φ = 16376256.

The previous prime is 50382601. The next prime is 50382649. The reversal of 50382648 is 84628305.

50382648 is a `hidden beast` number, since 5 + 0 + 3 + 8 + 2 + 648 = 666.

It is a super-2 number, since 2×503826482 = 5076822438983808, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50382649) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 309015 + ... + 309177.

Almost surely, 250382648 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 50382648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72597060).

50382648 is an abundant number, since it is smaller than the sum of its proper divisors (94811472).

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

50382648 is a wasteful number, since it uses less digits than its factorization.

50382648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 50382648 is about 7098.0735414618. The cubic root of 50382648 is about 369.3405541328.

The spelling of 50382648 in words is "fifty million, three hundred eighty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 163 212 216 243 318 324 326 424 477 486 489 636 648 652 729 954 972 978 1272 1304 1431 1458 1467 1908 1944 1956 2862 2916 2934 3816 3912 4293 4401 5724 5832 5868 8586 8639 8802 11448 11736 12879 13203 17172 17278 17604 25758 25917 26406 34344 34556 35208 38637 39609 51516 51834 52812 69112 77274 77751 79218 103032 103668 105624 118827 154548 155502 158436 207336 233253 237654 309096 311004 316872 466506 475308 622008 699759 933012 950616 1399518 1866024 2099277 2799036 4198554 5598072 6297831 8397108 12595662 16794216 25191324 50382648