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50058320 = 24513127379
BaseRepresentation
bin1011111011110…
…1010001010000
310111012020002212
42332331101100
5100303331240
64544531252
71145326424
oct276752120
9114166085
1050058320
1126290614
1214920b28
13a4a8b10
146910b84
1545dc165
hex2fbd450

50058320 has 80 divisors (see below), whose sum is σ = 126658560. Its totient is φ = 18289152.

The previous prime is 50058301. The next prime is 50058347. The reversal of 50058320 is 2385005.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131891 + ... + 132269.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 250058320 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 50058320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63329280).

50058320 is an abundant number, since it is smaller than the sum of its proper divisors (76600240).

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

50058320 is a wasteful number, since it uses less digits than its factorization.

50058320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 50058320 is about 7075.1904568004. The cubic root of 50058320 is about 368.5463293549.

It can be divided in two parts, 500 and 58320, that multiplied together give a square (29160000 = 54002).

The spelling of 50058320 in words is "fifty million, fifty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 379 508 520 635 758 1016 1040 1270 1516 1651 1895 2032 2540 3032 3302 3790 4927 5080 6064 6604 7580 8255 9854 10160 13208 15160 16510 19708 24635 26416 30320 33020 39416 48133 49270 66040 78832 96266 98540 132080 192532 197080 240665 385064 394160 481330 625729 770128 962660 1251458 1925320 2502916 3128645 3850640 5005832 6257290 10011664 12514580 25029160 50058320