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53775000 = 233255239
BaseRepresentation
bin1100110100100…
…0101010011000
310202012001102200
43031020222120
5102231300000
65200330200
71222036266
oct315105230
9122161380
1053775000
1128399a54
1216013960
13b1aa736
1471db436
154ac3500
hex3348a98

53775000 has 144 divisors (see below), whose sum is σ = 182800800. Its totient is φ = 14280000.

The previous prime is 53774999. The next prime is 53775013. The reversal of 53775000 is 57735.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 224881 + ... + 225119.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 253775000 is an apocalyptic number.

53775000 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 53775000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91400400).

53775000 is an abundant number, since it is smaller than the sum of its proper divisors (129025800).

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

53775000 is a wasteful number, since it uses less digits than its factorization.

53775000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 53775000 is about 7333.1439369482. The cubic root of 53775000 is about 377.4506170509.

The spelling of 53775000 in words is "fifty-three million, seven hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 239 250 300 360 375 450 478 500 600 625 717 750 900 956 1000 1125 1195 1250 1434 1500 1800 1875 1912 2151 2250 2390 2500 2868 3000 3125 3585 3750 4302 4500 4780 5000 5625 5736 5975 6250 7170 7500 8604 9000 9375 9560 10755 11250 11950 12500 14340 15000 17208 17925 18750 21510 22500 23900 25000 28125 28680 29875 35850 37500 43020 45000 47800 53775 56250 59750 71700 75000 86040 89625 107550 112500 119500 143400 149375 179250 215100 225000 239000 268875 298750 358500 430200 448125 537750 597500 717000 746875 896250 1075500 1195000 1344375 1493750 1792500 2151000 2240625 2688750 2987500 3585000 4481250 5377500 5975000 6721875 8962500 10755000 13443750 17925000 26887500 53775000