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48362208 = 2536773103
BaseRepresentation
bin1011100001111…
…1001011100000
310101000001110220
42320133023200
544340042313
64444323040
71125033456
oct270371340
9111001426
1048362208
1125332274
1214243480
13a033abb
1465cc9d6
1543a4823
hex2e1f2e0

48362208 has 96 divisors (see below), whose sum is σ = 131878656. Its totient is φ = 15510528.

The previous prime is 48362207. The next prime is 48362231. The reversal of 48362208 is 80226384.

48362208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48362207) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 469485 + ... + 469587.

It is an arithmetic number, because the mean of its divisors is an integer number (1373736).

Almost surely, 248362208 is an apocalyptic number.

48362208 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 48362208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65939328).

48362208 is an abundant number, since it is smaller than the sum of its proper divisors (83516448).

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

48362208 is a wasteful number, since it uses less digits than its factorization.

48362208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 48362208 is about 6954.2942129306. The cubic root of 48362208 is about 364.3359616084.

The spelling of 48362208 in words is "forty-eight million, three hundred sixty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 67 73 96 103 134 146 201 206 219 268 292 309 402 412 438 536 584 618 804 824 876 1072 1168 1236 1608 1648 1752 2144 2336 2472 3216 3296 3504 4891 4944 6432 6901 7008 7519 9782 9888 13802 14673 15038 19564 20703 22557 27604 29346 30076 39128 41406 45114 55208 58692 60152 78256 82812 90228 110416 117384 120304 156512 165624 180456 220832 234768 240608 331248 360912 469536 503773 662496 721824 1007546 1511319 2015092 3022638 4030184 6045276 8060368 12090552 16120736 24181104 48362208