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48824084208 = 2435331096173
BaseRepresentation
bin101101011110001001…
…000110011011110000
311200000122010110102010
4231132021012123300
51244442431143313
634232433322520
73345622603554
oct553611063360
9150018113363
1048824084208
1119784a17119
129567106440
1347b125b973
1425124ad864
15140b5154c3
hexb5e2466f0

48824084208 has 80 divisors (see below), whose sum is σ = 128570833440. Its totient is φ = 15959903232.

The previous prime is 48824084171. The next prime is 48824084237. The reversal of 48824084208 is 80248042884.

48824084208 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 (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7906210 + ... + 7912382.

It is an arithmetic number, because the mean of its divisors is an integer number (1607135418).

Almost surely, 248824084208 is an apocalyptic number.

48824084208 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 48824084208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64285416720).

48824084208 is an abundant number, since it is smaller than the sum of its proper divisors (79746749232).

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

48824084208 is a wasteful number, since it uses less digits than its factorization.

48824084208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9346 (or 9340 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 48824084208 in words is "forty-eight billion, eight hundred twenty-four million, eighty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1272 2544 3109 6173 6218 9327 12346 12436 18519 18654 24692 24872 37038 37308 49384 49744 74076 74616 98768 148152 149232 164777 296304 327169 329554 494331 654338 659108 981507 988662 1308676 1318216 1963014 1977324 2617352 2636432 3926028 3954648 5234704 7852056 7909296 15704112 19191857 38383714 57575571 76767428 115151142 153534856 230302284 307069712 460604568 921209136 1017168421 2034336842 3051505263 4068673684 6103010526 8137347368 12206021052 16274694736 24412042104 48824084208