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48624208 = 2423711861
BaseRepresentation
bin1011100101111…
…1001001010000
310101111100212121
42321133021100
544421433313
64454104024
71130204353
oct271371120
9111440777
1048624208
11254a10a6
121434b014
13a0c6129
14665a29a
15440728d
hex2e5f250

48624208 has 40 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 22915200.

The previous prime is 48624203. The next prime is 48624209. The reversal of 48624208 is 80242684.

48624208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48624203) 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 7 ways as a sum of consecutive naturals, for example, 25198 + ... + 27058.

Almost surely, 248624208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48624208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

48624208 is an abundant number, since it is smaller than the sum of its proper divisors (51119408).

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

48624208 is a wasteful number, since it uses less digits than its factorization.

48624208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 48624208 is about 6973.1060511081. The cubic root of 48624208 is about 364.9927014241.

The spelling of 48624208 in words is "forty-eight million, six hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 368 568 1136 1633 1861 3266 3722 6532 7444 13064 14888 26128 29776 42803 85606 132131 171212 264262 342424 528524 684848 1057048 2114096 3039013 6078026 12156052 24312104 48624208