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50533300 = 225223127173
BaseRepresentation
bin1100000011000…
…1001110110100
310112002100122201
43000301032310
5100414031200
65003034244
71152345256
oct300611664
9115070581
1050533300
1126585464
1214b0b984
13a61407c
1469d5cd6
154682c6a
hex30313b4

50533300 has 72 divisors (see below), whose sum is σ = 115992576. Its totient is φ = 19071360.

The previous prime is 50533289. The next prime is 50533309. The reversal of 50533300 is 333505.

It is a super-2 number, since 2×505333002 = 5107228817780000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50533309) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 292014 + ... + 292186.

It is an arithmetic number, because the mean of its divisors is an integer number (1611008).

Almost surely, 250533300 is an apocalyptic number.

50533300 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 50533300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57996288).

50533300 is an abundant number, since it is smaller than the sum of its proper divisors (65459276).

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

50533300 is a wasteful number, since it uses less digits than its factorization.

50533300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 19.

The square root of 50533300 is about 7108.6777954835. The cubic root of 50533300 is about 369.7083165007.

Adding to 50533300 its reverse (333505), we get a palindrome (50866805).

The spelling of 50533300 in words is "fifty million, five hundred thirty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 127 173 230 254 346 460 508 575 635 692 865 1150 1270 1730 2300 2540 2921 3175 3460 3979 4325 5842 6350 7958 8650 11684 12700 14605 15916 17300 19895 21971 29210 39790 43942 58420 73025 79580 87884 99475 109855 146050 198950 219710 292100 397900 439420 505333 549275 1010666 1098550 2021332 2197100 2526665 5053330 10106660 12633325 25266650 50533300