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50713824 = 2537210781
BaseRepresentation
bin1100000101110…
…1010011100000
310112102112021210
43001131103200
5100440320244
65010550120
71154026500
oct301352340
9115375253
1050713824
1126699057
1214b98340
13a6782a5
146a41a00
1546bb4b9
hex305d4e0

50713824 has 72 divisors (see below), whose sum is σ = 154872648. Its totient is φ = 14488320.

The previous prime is 50713823. The next prime is 50713829. The reversal of 50713824 is 42831705.

It is a junction number, because it is equal to n+sod(n) for n = 50713791 and 50713800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50713823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 687 + ... + 10094.

It is an arithmetic number, because the mean of its divisors is an integer number (2151009).

Almost surely, 250713824 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 50713824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77436324).

50713824 is an abundant number, since it is smaller than the sum of its proper divisors (104158824).

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

50713824 is a wasteful number, since it uses less digits than its factorization.

50713824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10808 (or 10793 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 50713824 is about 7121.3639143074. The cubic root of 50713824 is about 370.1480391294.

The spelling of 50713824 in words is "fifty million, seven hundred thirteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 10781 21562 32343 43124 64686 75467 86248 129372 150934 172496 226401 258744 301868 344992 452802 517488 528269 603736 905604 1034976 1056538 1207472 1584807 1811208 2113076 2414944 3169614 3622416 4226152 6339228 7244832 8452304 12678456 16904608 25356912 50713824