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248982384 = 24371943907
BaseRepresentation
bin11101101011100…
…10101101110000
3122100111121121210
432311302231300
51002214414014
640412320120
76112213110
oct1665625560
9570447553
10248982384
111185a9172
126b473040
133c777471
14250d3040
1516cd2859
hexed72b70

248982384 has 160 divisors (see below), whose sum is σ = 792647680. Its totient is φ = 65753856.

The previous prime is 248982373. The next prime is 248982389. The reversal of 248982384 is 483289842.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248982389) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274059 + ... + 274965.

It is an arithmetic number, because the mean of its divisors is an integer number (4954048).

Almost surely, 2248982384 is an apocalyptic number.

248982384 is a gapful number since it is divisible by the number (24) 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 248982384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396323840).

248982384 is an abundant number, since it is smaller than the sum of its proper divisors (543665296).

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

248982384 is a wasteful number, since it uses less digits than its factorization.

248982384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 981 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 248982384 is about 15779.1756438668. The cubic root of 248982384 is about 629.1046187036.

The spelling of 248982384 in words is "two hundred forty-eight million, nine hundred eighty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 43 48 56 57 76 84 86 112 114 129 133 152 168 172 228 258 266 301 304 336 344 399 456 516 532 602 688 798 817 903 907 912 1032 1064 1204 1596 1634 1806 1814 2064 2128 2408 2451 2721 3192 3268 3612 3628 4816 4902 5442 5719 6349 6384 6536 7224 7256 9804 10884 11438 12698 13072 14448 14512 17157 17233 19047 19608 21768 22876 25396 34314 34466 38094 39001 39216 43536 45752 50792 51699 68628 68932 76188 78002 91504 101584 103398 117003 120631 137256 137864 152376 156004 206796 234006 241262 273007 274512 275728 304752 312008 361893 413592 468012 482524 546014 624016 723786 741019 819021 827184 936024 965048 1092028 1447572 1482038 1638042 1872048 1930096 2184056 2223057 2895144 2964076 3276084 4368112 4446114 5187133 5790288 5928152 6552168 8892228 10374266 11856304 13104336 15561399 17784456 20748532 31122798 35568912 41497064 62245596 82994128 124491192 248982384