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47116080 = 2434511661
BaseRepresentation
bin1011001110111…
…0111100110000
310021122202010000
42303232330300
544030203310
64401510000
71111323444
oct263567460
9107582100
1047116080
1124661010
1213942300
1399b884b
146386824
15420a4c0
hex2ceef30

47116080 has 200 divisors, whose sum is σ = 178787664. Its totient is φ = 11404800.

The previous prime is 47116051. The next prime is 47116103. The reversal of 47116080 is 8061174.

It is a happy number.

47116080 is a `hidden beast` number, since 47 + 11 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70950 + ... + 71610.

Almost surely, 247116080 is an apocalyptic number.

47116080 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 47116080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89393832).

47116080 is an abundant number, since it is smaller than the sum of its proper divisors (131671584).

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

47116080 is a wasteful number, since it uses less digits than its factorization.

47116080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 47116080 is about 6864.1153836456. The cubic root of 47116080 is about 361.1794648429.

The spelling of 47116080 in words is "forty-seven million, one hundred sixteen thousand, eighty".