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47107368 = 233271129293
BaseRepresentation
bin1011001110110…
…0110100101000
310021122022011100
42303230310220
544024413433
64401401400
71111256160
oct263546450
9107568140
1047107368
1124655510
1213939260
1399b48a9
1463835a0
154207b13
hex2cecd28

47107368 has 192 divisors, whose sum is σ = 165110400. Its totient is φ = 11773440.

The previous prime is 47107349. The next prime is 47107373. The reversal of 47107368 is 86370174.

47107368 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 (36).

It is an unprimeable number.

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, 160630 + ... + 160922.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 247107368 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 47107368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82555200).

47107368 is an abundant number, since it is smaller than the sum of its proper divisors (118003032).

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

47107368 is a wasteful number, since it uses less digits than its factorization.

47107368 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 28224, while the sum is 36.

The square root of 47107368 is about 6863.4807495905. The cubic root of 47107368 is about 361.1572021712.

The spelling of 47107368 in words is "forty-seven million, one hundred seven thousand, three hundred sixty-eight".