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47848680 = 233251143281
BaseRepresentation
bin1011011010000…
…1110011101000
310100000222001100
42312201303220
544222124210
64425321400
71120464345
oct266416350
9110028040
1047848680
1125011470
1214036260
139bb4139
1464d77cc
1543025c0
hex2da1ce8

47848680 has 192 divisors, whose sum is σ = 174208320. Its totient is φ = 11289600.

The previous prime is 47848663. The next prime is 47848687. The reversal of 47848680 is 8684874.

47848680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (47848687) 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 47 ways as a sum of consecutive naturals, for example, 170140 + ... + 170420.

It is an arithmetic number, because the mean of its divisors is an integer number (907335).

Almost surely, 247848680 is an apocalyptic number.

47848680 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 47848680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87104160).

47848680 is an abundant number, since it is smaller than the sum of its proper divisors (126359640).

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

47848680 is a wasteful number, since it uses less digits than its factorization.

47848680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 47848680 is about 6917.2740295582. The cubic root of 47848680 is about 363.0418183728.

The spelling of 47848680 in words is "forty-seven million, eight hundred forty-eight thousand, six hundred eighty".