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48422400 = 293521397
BaseRepresentation
bin1011100010110…
…1111000000000
310101010010001020
42320231320000
544344004100
64445505440
71125404115
oct270557000
9111103036
1048422400
1125373514
1214272280
13a055310
14660690c
1543b75a0
hex2e2de00

48422400 has 240 divisors, whose sum is σ = 174040944. Its totient is φ = 11796480.

The previous prime is 48422371. The next prime is 48422453. The reversal of 48422400 is 422484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 499152 + ... + 499248.

Almost surely, 248422400 is an apocalyptic number.

48422400 is a gapful number since it is divisible by the number (40) 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 48422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87020472).

48422400 is an abundant number, since it is smaller than the sum of its proper divisors (125618544).

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

48422400 is a wasteful number, since it uses less digits than its factorization.

48422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 48422400 is about 6958.6205529544. The cubic root of 48422400 is about 364.4870507837.

Adding to 48422400 its reverse (422484), we get a palindrome (48844884).

The spelling of 48422400 in words is "forty-eight million, four hundred twenty-two thousand, four hundred".