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47943168 = 2937413
BaseRepresentation
bin1011011011100…
…0111000000000
310100012202122220
42312320320000
544233140133
64431331040
71121340000
oct266707000
9110182586
1047943168
1125076459
1214080a80
139c18150
146520000
1543205b3
hex2db8e00

47943168 has 200 divisors, whose sum is σ = 160463688. Its totient is φ = 12644352.

The previous prime is 47943167. The next prime is 47943191. The reversal of 47943168 is 86134974.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47943167) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 3687930 + ... + 3687942.

Almost surely, 247943168 is an apocalyptic number.

47943168 is a gapful number since it is divisible by the number (48) 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 47943168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80231844).

47943168 is an abundant number, since it is smaller than the sum of its proper divisors (112520520).

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

47943168 is an frugal number, since it uses more digits than its factorization.

47943168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 47943168 is about 6924.1005192010. The cubic root of 47943168 is about 363.2806305361.

The spelling of 47943168 in words is "forty-seven million, nine hundred forty-three thousand, one hundred sixty-eight".