Search a number
-
+
48843648 = 27347673
BaseRepresentation
bin1011101001010…
…0101110000000
310101220111220000
42322110232000
5100000444043
64502520000
71132110210
oct272245600
9111814800
1048843648
1125630a57
1214436000
13a171c89
1466b6240
15444c2d3
hex2e94b80

48843648 has 160 divisors (see below), whose sum is σ = 166370160. Its totient is φ = 13934592.

The previous prime is 48843647. The next prime is 48843673. The reversal of 48843648 is 84634884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48843647) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 72240 + ... + 72912.

Almost surely, 248843648 is an apocalyptic number.

48843648 is a gapful number since it is divisible by the number (48) 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 48843648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83185080).

48843648 is an abundant number, since it is smaller than the sum of its proper divisors (117526512).

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

48843648 is an equidigital number, since it uses as much as digits as its factorization.

48843648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 685 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The square root of 48843648 is about 6988.8230768850. The cubic root of 48843648 is about 365.5409455695.

The spelling of 48843648 in words is "forty-eight million, eight hundred forty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 673 756 864 896 1008 1134 1152 1296 1344 1346 1512 1728 2016 2019 2268 2592 2688 2692 3024 3456 4032 4038 4536 4711 5184 5384 6048 6057 8064 8076 9072 9422 10368 10768 12096 12114 14133 16152 18144 18171 18844 21536 24192 24228 28266 32304 36288 36342 37688 42399 43072 48456 54513 56532 64608 72576 72684 75376 84798 86144 96912 109026 113064 127197 129216 145368 150752 169596 193824 218052 226128 254394 258432 290736 301504 339192 381591 387648 436104 452256 508788 581472 603008 678384 763182 775296 872208 904512 1017576 1162944 1356768 1526364 1744416 1809024 2035152 2325888 2713536 3052728 3488832 4070304 5427072 6105456 6977664 8140608 12210912 16281216 24421824 48843648