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48578208 = 2537223449
BaseRepresentation
bin1011100101001…
…1111010100000
310101102000202220
42321103322200
544414000313
64453111040
71126623300
oct271237240
9111360686
1048578208
112546a588
1214328480
13a0ab203
146647600
1543e8823
hex2e53ea0

48578208 has 144 divisors (see below), whose sum is σ = 155131200. Its totient is φ = 13246464.

The previous prime is 48578203. The next prime is 48578237. The reversal of 48578208 is 80287584.

48578208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 48578208.

It is not an unprimeable number, because it can be changed into a prime (48578203) 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 23 ways as a sum of consecutive naturals, for example, 107968 + ... + 108416.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 248578208 is an apocalyptic number.

48578208 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 48578208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77565600).

48578208 is an abundant number, since it is smaller than the sum of its proper divisors (106552992).

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

48578208 is a wasteful number, since it uses less digits than its factorization.

48578208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 48578208 is about 6969.8068839818. The cubic root of 48578208 is about 364.8775669931.

The spelling of 48578208 in words is "forty-eight million, five hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 49 56 69 84 92 96 98 112 138 147 161 168 184 196 224 276 294 322 336 368 392 449 483 552 588 644 672 736 784 898 966 1104 1127 1176 1288 1347 1568 1796 1932 2208 2254 2352 2576 2694 3143 3381 3592 3864 4508 4704 5152 5388 6286 6762 7184 7728 9016 9429 10327 10776 12572 13524 14368 15456 18032 18858 20654 21552 22001 25144 27048 30981 36064 37716 41308 43104 44002 50288 54096 61962 66003 72289 75432 82616 88004 100576 108192 123924 132006 144578 150864 165232 176008 216867 247848 264012 289156 301728 330464 352016 433734 495696 506023 528024 578312 704032 867468 991392 1012046 1056048 1156624 1518069 1734936 2024092 2112096 2313248 3036138 3469872 4048184 6072276 6939744 8096368 12144552 16192736 24289104 48578208