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48390384 = 2437592441
BaseRepresentation
bin1011100010011…
…0000011110000
310101001111010110
42320212003300
544341443014
64445101320
71125211560
oct270460360
9111044113
1048390384
1125351459
1214257840
13a043883
1465d8da0
1543acd59
hex2e260f0

48390384 has 80 divisors (see below), whose sum is σ = 145347840. Its totient is φ = 13585920.

The previous prime is 48390379. The next prime is 48390427. The reversal of 48390384 is 48309384.

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 15 ways as a sum of consecutive naturals, for example, 18604 + ... + 21044.

It is an arithmetic number, because the mean of its divisors is an integer number (1816848).

Almost surely, 248390384 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 48390384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72673920).

48390384 is an abundant number, since it is smaller than the sum of its proper divisors (96957456).

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

48390384 is a wasteful number, since it uses less digits than its factorization.

48390384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 48390384 is about 6956.3197166318. The cubic root of 48390384 is about 364.4067023621.

The spelling of 48390384 in words is "forty-eight million, three hundred ninety thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2441 2478 2832 3304 4882 4956 6608 7323 9764 9912 14646 17087 19528 19824 29292 34174 39056 51261 58584 68348 102522 117168 136696 144019 205044 273392 288038 410088 432057 576076 820176 864114 1008133 1152152 1728228 2016266 2304304 3024399 3456456 4032532 6048798 6912912 8065064 12097596 16130128 24195192 48390384