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3948973 = 73779193
BaseRepresentation
bin1111000100000110101101
321102121222021
433010012231
52002331343
6220350141
745365020
oct17040655
97377867
103948973
112257a16
1213a5351
13a83592
1474b1b7
155300ed
hex3c41ad

3948973 has 16 divisors (see below), whose sum is σ = 4718080. Its totient is φ = 3234816.

The previous prime is 3948953. The next prime is 3949003. The reversal of 3948973 is 3798493.

3948973 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 3948973 - 221 = 1851821 is a prime.

It is a Duffinian number.

3948973 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3948953) 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 15 ways as a sum of consecutive naturals, for example, 20365 + ... + 20557.

It is an arithmetic number, because the mean of its divisors is an integer number (294880).

Almost surely, 23948973 is an apocalyptic number.

It is an amenable number.

3948973 is a deficient number, since it is larger than the sum of its proper divisors (769107).

3948973 is a wasteful number, since it uses less digits than its factorization.

3948973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316.

The product of its digits is 163296, while the sum is 43.

The square root of 3948973 is about 1987.2023047491. The cubic root of 3948973 is about 158.0622117881.

The spelling of 3948973 in words is "three million, nine hundred forty-eight thousand, nine hundred seventy-three".

Divisors: 1 7 37 79 193 259 553 1351 2923 7141 15247 20461 49987 106729 564139 3948973