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48450416 = 2472292131
BaseRepresentation
bin1011100011010…
…0101101110000
310101011112110212
42320310231300
544400403131
64450243252
71125551600
oct270645560
9111145425
1048450416
1125392573
1214286528
13a064cb1
146612c00
1543c0a2b
hex2e34b70

48450416 has 60 divisors (see below), whose sum is σ = 113017320. Its totient is φ = 20039040.

The previous prime is 48450403. The next prime is 48450419. The reversal of 48450416 is 61405484.

48450416 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 (48450419) 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 11 ways as a sum of consecutive naturals, for example, 21671 + ... + 23801.

It is an arithmetic number, because the mean of its divisors is an integer number (1883622).

Almost surely, 248450416 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 48450416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56508660).

48450416 is an abundant number, since it is smaller than the sum of its proper divisors (64566904).

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

48450416 is a wasteful number, since it uses less digits than its factorization.

48450416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 48450416 is about 6960.6333045205. The cubic root of 48450416 is about 364.5573316212.

The spelling of 48450416 in words is "forty-eight million, four hundred fifty thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 98 112 116 196 203 232 392 406 464 784 812 1421 1624 2131 2842 3248 4262 5684 8524 11368 14917 17048 22736 29834 34096 59668 61799 104419 119336 123598 208838 238672 247196 417676 432593 494392 835352 865186 988784 1670704 1730372 3028151 3460744 6056302 6921488 12112604 24225208 48450416