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48234384 = 24321137823
BaseRepresentation
bin1011011111111…
…1111110010000
310100202120010200
42313333332100
544322000014
64441455200
71123662012
oct267777620
9110676120
1048234384
1125255230
12141a1500
139cba873
1465981b2
15437ba09
hex2dfff90

48234384 has 120 divisors (see below), whose sum is σ = 151424832. Its totient is φ = 14204160.

The previous prime is 48234359. The next prime is 48234397. The reversal of 48234384 is 48343284.

48234384 is a `hidden beast` number, since 48 + 234 + 384 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58197 + ... + 59019.

Almost surely, 248234384 is an apocalyptic number.

48234384 is a gapful number since it is divisible by the number (44) 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 48234384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75712416).

48234384 is an abundant number, since it is smaller than the sum of its proper divisors (103190448).

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

48234384 is a wasteful number, since it uses less digits than its factorization.

48234384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 876 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 48234384 is about 6945.0978394836. The cubic root of 48234384 is about 364.0146916744.

Subtracting 48234384 from its reverse (48343284), we obtain a square (108900 = 3302).

It can be divided in two parts, 48 and 234384, that added together give a palindrome (234432).

The spelling of 48234384 in words is "forty-eight million, two hundred thirty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 37 44 48 66 72 74 88 99 111 132 144 148 176 198 222 264 296 333 396 407 444 528 592 666 792 814 823 888 1221 1332 1584 1628 1646 1776 2442 2469 2664 3256 3292 3663 4884 4938 5328 6512 6584 7326 7407 9053 9768 9876 13168 14652 14814 18106 19536 19752 27159 29304 29628 30451 36212 39504 54318 58608 59256 60902 72424 81477 91353 108636 118512 121804 144848 162954 182706 217272 243608 274059 325908 334961 365412 434544 487216 548118 651816 669922 730824 1004883 1096236 1303632 1339844 1461648 2009766 2192472 2679688 3014649 4019532 4384944 5359376 6029298 8039064 12058596 16078128 24117192 48234384