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48470016 = 21137323
BaseRepresentation
bin1011100011100…
…1100000000000
310101012112100210
42320321200000
544402020031
64450514120
71125663000
oct270714000
9111175323
1048470016
11253a6271
1214295940
13a070baa
14661a000
1543c6746
hex2e39800

48470016 has 192 divisors, whose sum is σ = 157248000. Its totient is φ = 13246464.

The previous prime is 48470003. The next prime is 48470033. The reversal of 48470016 is 61007484.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107381 + ... + 2107403.

It is an arithmetic number, because the mean of its divisors is an integer number (819000).

Almost surely, 248470016 is an apocalyptic number.

48470016 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 48470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78624000).

48470016 is an abundant number, since it is smaller than the sum of its proper divisors (108777984).

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

48470016 is an equidigital number, since it uses as much as digits as its factorization.

48470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 48470016 is about 6962.0410800282. The cubic root of 48470016 is about 364.6064840055.

It can be divided in two parts, 484 and 70016, that added together give a triangular number (70500 = T375).

The spelling of 48470016 in words is "forty-eight million, four hundred seventy thousand, sixteen".