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50384000 = 27534767
BaseRepresentation
bin1100000000110…
…0110010000000
310111210202212002
43000030302000
5100344242000
64555523132
71151154062
oct300146200
9114722762
1050384000
1126493277
1214a594a8
13a591124
146997732
1546538d5
hex300cc80

50384000 has 128 divisors (see below), whose sum is σ = 129841920. Its totient is φ = 19430400.

The previous prime is 50383997. The next prime is 50384011. The reversal of 50384000 is 48305.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 751967 + ... + 752033.

It is an arithmetic number, because the mean of its divisors is an integer number (1014390).

Almost surely, 250384000 is an apocalyptic number.

50384000 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 50384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64920960).

50384000 is an abundant number, since it is smaller than the sum of its proper divisors (79457920).

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

50384000 is an equidigital number, since it uses as much as digits as its factorization.

50384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 50384000 is about 7098.1687779314. The cubic root of 50384000 is about 369.3438578097.

The spelling of 50384000 in words is "fifty million, three hundred eighty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 67 80 94 100 125 128 134 160 188 200 235 250 268 320 335 376 400 470 500 536 640 670 752 800 940 1000 1072 1175 1340 1504 1600 1675 1880 2000 2144 2350 2680 3008 3149 3200 3350 3760 4000 4288 4700 5360 5875 6016 6298 6700 7520 8000 8375 8576 9400 10720 11750 12596 13400 15040 15745 16000 16750 18800 21440 23500 25192 26800 30080 31490 33500 37600 42880 47000 50384 53600 62980 67000 75200 78725 94000 100768 107200 125960 134000 150400 157450 188000 201536 214400 251920 268000 314900 376000 393625 403072 503840 536000 629800 752000 787250 1007680 1072000 1259600 1574500 2015360 2519200 3149000 5038400 6298000 10076800 12596000 25192000 50384000