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47946001 = 173378369
BaseRepresentation
bin1011011011100…
…1100100010001
310100012220112211
42312321210101
544233233001
64431352121
71121351155
oct266714421
9110186484
1047946001
11250785a4
1214082641
139c1951c
146521065
154321351
hex2db9911

47946001 has 8 divisors (see below), whose sum is σ = 50923080. Its totient is φ = 44986368.

The previous prime is 47945999. The next prime is 47946011. The reversal of 47946001 is 10064974.

47946001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12531600 + 35414401 = 3540^2 + 5951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 47946001 - 21 = 47945999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47946011) 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 7 ways as a sum of consecutive naturals, for example, 1545 + ... + 9913.

It is an arithmetic number, because the mean of its divisors is an integer number (6365385).

Almost surely, 247946001 is an apocalyptic number.

It is an amenable number.

47946001 is a deficient number, since it is larger than the sum of its proper divisors (2977079).

47946001 is a wasteful number, since it uses less digits than its factorization.

47946001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8723.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 47946001 is about 6924.3050914875. The cubic root of 47946001 is about 363.2877859092.

The spelling of 47946001 in words is "forty-seven million, nine hundred forty-six thousand, one".

Divisors: 1 17 337 5729 8369 142273 2820353 47946001