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50076880 = 2457223401
BaseRepresentation
bin1011111100000…
…1110011010000
310111020011120021
42333001303100
5100304430010
64545153224
71145434510
oct277016320
9114204507
1050076880
11262a3557
121492b814
13a4b43b9
146917840
1545e28da
hex2fc1cd0

50076880 has 80 divisors (see below), whose sum is σ = 133991424. Its totient is φ = 17049600.

The previous prime is 50076869. The next prime is 50076931. The reversal of 50076880 is 8867005.

50076880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124680 + ... + 125080.

Almost surely, 250076880 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 50076880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66995712).

50076880 is an abundant number, since it is smaller than the sum of its proper divisors (83914544).

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

50076880 is a wasteful number, since it uses less digits than its factorization.

50076880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 50076880 is about 7076.5019607148. The cubic root of 50076880 is about 368.5918720651.

It can be divided in two parts, 500 and 76880, that multiplied together give a square (38440000 = 62002).

The spelling of 50076880 in words is "fifty million, seventy-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 223 280 401 446 560 802 892 1115 1561 1604 1784 2005 2230 2807 3122 3208 3568 4010 4460 5614 6244 6416 7805 8020 8920 11228 12488 14035 15610 16040 17840 22456 24976 28070 31220 32080 44912 56140 62440 89423 112280 124880 178846 224560 357692 447115 625961 715384 894230 1251922 1430768 1788460 2503844 3129805 3576920 5007688 6259610 7153840 10015376 12519220 25038440 50076880