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50042400 = 2535229719
BaseRepresentation
bin1011111011100…
…1011000100000
310111011102021020
42332321120200
5100302324100
64544325440
71145232132
oct276713040
9114142236
1050042400
112627a661
1214913880
13a4a17b5
146909052
1545d75a0
hex2fb9620

50042400 has 144 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 12866560.

The previous prime is 50042381. The next prime is 50042417. The reversal of 50042400 is 424005.

50042400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 50042400.

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 23 ways as a sum of consecutive naturals, for example, 69241 + ... + 69959.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 250042400 is an apocalyptic number.

50042400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50042400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84369600).

50042400 is an abundant number, since it is smaller than the sum of its proper divisors (118696800).

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

50042400 is a wasteful number, since it uses less digits than its factorization.

50042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 50042400 is about 7074.0653092829. The cubic root of 50042400 is about 368.5072557327.

Adding to 50042400 its reverse (424005), we get a palindrome (50466405).

The spelling of 50042400 in words is "fifty million, forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 32 40 48 50 58 60 75 80 87 96 100 116 120 145 150 160 174 200 232 240 290 300 348 400 435 464 480 580 600 696 719 725 800 870 928 1160 1200 1392 1438 1450 1740 2157 2175 2320 2400 2784 2876 2900 3480 3595 4314 4350 4640 5752 5800 6960 7190 8628 8700 10785 11504 11600 13920 14380 17256 17400 17975 20851 21570 23008 23200 28760 34512 34800 35950 41702 43140 53925 57520 62553 69024 69600 71900 83404 86280 104255 107850 115040 125106 143800 166808 172560 208510 215700 250212 287600 312765 333616 345120 417020 431400 500424 521275 575200 625530 667232 834040 862800 1000848 1042550 1251060 1563825 1668080 1725600 2001696 2085100 2502120 3127650 3336160 4170200 5004240 6255300 8340400 10008480 12510600 16680800 25021200 50042400