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48396096 = 263374001
BaseRepresentation
bin1011100010011…
…1011101000000
310101001202222000
42320213131000
544342133341
64445144000
71125234330
oct270473500
9111052860
1048396096
1125355781
121425b000
13a046358
1465db0c0
1543ae8b6
hex2e27740

48396096 has 112 divisors (see below), whose sum is σ = 162641280. Its totient is φ = 13824000.

The previous prime is 48396091. The next prime is 48396121. The reversal of 48396096 is 69069384.

48396096 is a `hidden beast` number, since 4 + 8 + 39 + 609 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48396091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10096 + ... + 14096.

Almost surely, 248396096 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 48396096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81320640).

48396096 is an abundant number, since it is smaller than the sum of its proper divisors (114245184).

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

48396096 is a wasteful number, since it uses less digits than its factorization.

48396096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4029 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 48396096 is about 6956.7302664398. The cubic root of 48396096 is about 364.4210399847.

The spelling of 48396096 in words is "forty-eight million, three hundred ninety-six thousand, ninety-six".

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 84 96 108 112 126 144 168 189 192 216 224 252 288 336 378 432 448 504 576 672 756 864 1008 1344 1512 1728 2016 3024 4001 4032 6048 8002 12003 12096 16004 24006 28007 32008 36009 48012 56014 64016 72018 84021 96024 108027 112028 128032 144036 168042 192048 216054 224056 252063 256064 288072 336084 384096 432108 448112 504126 576144 672168 756189 768192 864216 896224 1008252 1152288 1344336 1512378 1728432 1792448 2016504 2304576 2688672 3024756 3456864 4033008 5377344 6049512 6913728 8066016 12099024 16132032 24198048 48396096