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50003128 = 2372199641
BaseRepresentation
bin1011111010111…
…1110010111000
310111002102101201
42332233302320
5100300100003
64543423544
71145006500
oct276576270
9114072351
1050003128
11262530aa
12148b4bb4
13a489966
1468d8a00
1545cab1d
hex2fafcb8

50003128 has 48 divisors (see below), whose sum is σ = 109782000. Its totient is φ = 21288960.

The previous prime is 50003123. The next prime is 50003141. The reversal of 50003128 is 82130005.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50003123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77688 + ... + 78328.

It is an arithmetic number, because the mean of its divisors is an integer number (2287125).

Almost surely, 250003128 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 50003128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54891000).

50003128 is an abundant number, since it is smaller than the sum of its proper divisors (59778872).

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

50003128 is a wasteful number, since it uses less digits than its factorization.

50003128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 50003128 is about 7071.2889914074. The cubic root of 50003128 is about 368.4108321375.

It can be divided in two parts, 5000 and 3128, that added together give a triangular number (8128 = T127).

The spelling of 50003128 in words is "fifty million, three thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 199 392 398 641 796 1282 1393 1592 2564 2786 4487 5128 5572 8974 9751 11144 17948 19502 31409 35896 39004 62818 78008 125636 127559 251272 255118 510236 892913 1020472 1785826 3571652 6250391 7143304 12500782 25001564 50003128