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48381696 = 2832112383
BaseRepresentation
bin1011100010001…
…1111100000000
310101001001012200
42320203330000
544341203241
64444553200
71125144336
oct270437400
9111031180
1048381696
1125345980
1214252800
13a03c92c
1465d5b56
1543aa4b6
hex2e23f00

48381696 has 216 divisors, whose sum is σ = 160707456. Its totient is φ = 13854720.

The previous prime is 48381691. The next prime is 48381703. The reversal of 48381696 is 69618384.

48381696 is a `hidden beast` number, since 483 + 8 + 169 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48381691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 582871 + ... + 582953.

It is an arithmetic number, because the mean of its divisors is an integer number (744016).

Almost surely, 248381696 is an apocalyptic number.

48381696 is a gapful number since it is divisible by the number (46) 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 48381696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80353728).

48381696 is an abundant number, since it is smaller than the sum of its proper divisors (112325760).

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

48381696 is a wasteful number, since it uses less digits than its factorization.

48381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 122 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 48381696 is about 6955.6952204650. The cubic root of 48381696 is about 364.3848925543.

The spelling of 48381696 in words is "forty-eight million, three hundred eighty-one thousand, six hundred ninety-six".