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48194640 = 243251319271
BaseRepresentation
bin1011011111011…
…0010001010000
310100200112121200
42313312101100
544314212030
64440551200
71123435104
oct267662120
9110615550
1048194640
112522838a
1214182500
139ca5750
146587904
15436ed60
hex2df6450

48194640 has 240 divisors, whose sum is σ = 184154880. Its totient is φ = 11197440.

The previous prime is 48194623. The next prime is 48194669. The reversal of 48194640 is 4649184.

It is a happy number.

48194640 is a `hidden beast` number, since 4 + 8 + 1 + 9 + 4 + 640 = 666.

48194640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 48194595 and 48194604.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 177705 + ... + 177975.

It is an arithmetic number, because the mean of its divisors is an integer number (767312).

Almost surely, 248194640 is an apocalyptic number.

48194640 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 48194640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92077440).

48194640 is an abundant number, since it is smaller than the sum of its proper divisors (135960240).

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

48194640 is a wasteful number, since it uses less digits than its factorization.

48194640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 48194640 is about 6942.2359510463. The cubic root of 48194640 is about 363.9146843482.

The spelling of 48194640 in words is "forty-eight million, one hundred ninety-four thousand, six hundred forty".