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53850384 = 24327411303
BaseRepresentation
bin1100110101101…
…1000100010000
310202022212211200
43031123010100
5102241203014
65202111200
71222502130
oct315330420
9122285750
1053850384
1128440655
121604b500
13b205b43
14721aac0
154adaa09
hex335b110

53850384 has 120 divisors (see below), whose sum is σ = 176572032. Its totient is φ = 14999040.

The previous prime is 53850371. The next prime is 53850403. The reversal of 53850384 is 48305835.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 40677 + ... + 41979.

Almost surely, 253850384 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 53850384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88286016).

53850384 is an abundant number, since it is smaller than the sum of its proper divisors (122721648).

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

53850384 is a wasteful number, since it uses less digits than its factorization.

53850384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1365 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 53850384 is about 7338.2820877914. The cubic root of 53850384 is about 377.6269099490.

The spelling of 53850384 in words is "fifty-three million, eight hundred fifty thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 41 42 48 56 63 72 82 84 112 123 126 144 164 168 246 252 287 328 336 369 492 504 574 656 738 861 984 1008 1148 1303 1476 1722 1968 2296 2583 2606 2952 3444 3909 4592 5166 5212 5904 6888 7818 9121 10332 10424 11727 13776 15636 18242 20664 20848 23454 27363 31272 36484 41328 46908 53423 54726 62544 72968 82089 93816 106846 109452 145936 160269 164178 187632 213692 218904 320538 328356 373961 427384 437808 480807 641076 656712 747922 854768 961614 1121883 1282152 1313424 1495844 1923228 2243766 2564304 2991688 3365649 3846456 4487532 5983376 6731298 7692912 8975064 13462596 17950128 26925192 53850384