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50803424 = 257337673
BaseRepresentation
bin1100000111001…
…1001011100000
310112121002012022
43001303023200
5101001202144
65012521012
71154551640
oct301631340
9115532168
1050803424
112674a401
1215020168
13a6a9cc9
146a66520
1546d7cee
hex30732e0

50803424 has 48 divisors (see below), whose sum is σ = 114817248. Its totient is φ = 21676032.

The previous prime is 50803409. The next prime is 50803433. The reversal of 50803424 is 42430805.

50803424 = T1 + T2 + ... + T672.

50803424 is a nontrivial binomial coefficient, being equal to C(674, 3).

It is a junction number, because it is equal to n+sod(n) for n = 50803393 and 50803402.

It is a congruent number.

It is an unprimeable number.

It is the 672-nd tetrahedral number.

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 7 ways as a sum of consecutive naturals, for example, 75152 + ... + 75824.

It is an arithmetic number, because the mean of its divisors is an integer number (2392026).

Almost surely, 250803424 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 50803424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57408624).

50803424 is an abundant number, since it is smaller than the sum of its proper divisors (64013824).

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

50803424 is a wasteful number, since it uses less digits than its factorization.

50803424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 50803424 is about 7127.6520678271. The cubic root of 50803424 is about 370.3659005130.

The spelling of 50803424 in words is "fifty million, eight hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 337 673 674 1346 1348 2359 2692 2696 4711 4718 5384 5392 9422 9436 10768 10784 18844 18872 21536 37688 37744 75376 75488 150752 226801 453602 907204 1587607 1814408 3175214 3628816 6350428 7257632 12700856 25401712 50803424