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3882813 = 311971213
BaseRepresentation
bin1110110011111100111101
321022021012220
432303330331
51443222223
6215115553
745001104
oct16637475
97267186
103882813
112212240
121372bb9
13a5c42c
1473103b
1551a6e3
hex3b3f3d

3882813 has 16 divisors (see below), whose sum is σ = 5710656. Its totient is φ = 2327040.

The previous prime is 3882799. The next prime is 3882841. The reversal of 3882813 is 3182883.

3882813 is an astonishing number since 3882813 = 388 + ... + 2813.

It is not a de Polignac number, because 3882813 - 216 = 3817277 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2595 + ... + 3807.

It is an arithmetic number, because the mean of its divisors is an integer number (356916).

Almost surely, 23882813 is an apocalyptic number.

3882813 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3882813 is a deficient number, since it is larger than the sum of its proper divisors (1827843).

3882813 is a wasteful number, since it uses less digits than its factorization.

3882813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324.

The product of its digits is 9216, while the sum is 33.

The square root of 3882813 is about 1970.4854731766. The cubic root of 3882813 is about 157.1745256521.

The spelling of 3882813 in words is "three million, eight hundred eighty-two thousand, eight hundred thirteen".

Divisors: 1 3 11 33 97 291 1067 1213 3201 3639 13343 40029 117661 352983 1294271 3882813