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48441840 = 24351731383
BaseRepresentation
bin1011100011001…
…0100111110000
310101011002201020
42320302213300
544400114330
64450135440
71125514566
oct270624760
9111132636
1048441840
1125387087
1214281580
13a061115
14660da36
1543bd210
hex2e329f0

48441840 has 160 divisors (see below), whose sum is σ = 164560896. Its totient is φ = 11735040.

The previous prime is 48441839. The next prime is 48441853. The reversal of 48441840 is 4814484.

It is a happy number.

48441840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×484418402 = 4693223725171200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126289 + ... + 126671.

Almost surely, 248441840 is an apocalyptic number.

48441840 is a gapful number since it is divisible by the number (40) 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 48441840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82280448).

48441840 is an abundant number, since it is smaller than the sum of its proper divisors (116119056).

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

48441840 is a wasteful number, since it uses less digits than its factorization.

48441840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 33.

The square root of 48441840 is about 6960.0172413580. The cubic root of 48441840 is about 364.5358207762.

It can be divided in two parts, 484 and 41840, that added together give a palindrome (42324).

The spelling of 48441840 in words is "forty-eight million, four hundred forty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 80 85 93 102 120 124 136 155 170 186 204 240 248 255 272 310 340 372 383 408 465 496 510 527 620 680 744 766 816 930 1020 1054 1149 1240 1360 1488 1532 1581 1860 1915 2040 2108 2298 2480 2635 3064 3162 3720 3830 4080 4216 4596 5270 5745 6128 6324 6511 7440 7660 7905 8432 9192 10540 11490 11873 12648 13022 15320 15810 18384 19533 21080 22980 23746 25296 26044 30640 31620 32555 35619 39066 42160 45960 47492 52088 59365 63240 65110 71238 78132 91920 94984 97665 104176 118730 126480 130220 142476 156264 178095 189968 195330 201841 237460 260440 284952 312528 356190 390660 403682 474920 520880 569904 605523 712380 781320 807364 949840 1009205 1211046 1424760 1562640 1614728 2018410 2422092 2849520 3027615 3229456 4036820 4844184 6055230 8073640 9688368 12110460 16147280 24220920 48441840