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3836808 = 233431191
BaseRepresentation
bin1110101000101110001000
321012221010000
432220232020
51440234213
6214123000
744420013
oct16505610
97187100
103836808
112190718
121350460
13a44501
1471c37a
1550bc73
hex3a8b88

3836808 has 80 divisors (see below), whose sum is σ = 11151360. Its totient is φ = 1231200.

The previous prime is 3836801. The next prime is 3836809. The reversal of 3836808 is 8086383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3836801) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19993 + ... + 20183.

It is an arithmetic number, because the mean of its divisors is an integer number (139392).

Almost surely, 23836808 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 3836808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5575680).

3836808 is an abundant number, since it is smaller than the sum of its proper divisors (7314552).

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

3836808 is a wasteful number, since it uses less digits than its factorization.

3836808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 3836808 is about 1958.7771695627. Note that the first 3 decimals coincide. The cubic root of 3836808 is about 156.5513038356.

The spelling of 3836808 in words is "three million, eight hundred thirty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 191 216 248 279 324 372 382 558 573 648 744 764 837 1116 1146 1528 1674 1719 2232 2292 2511 3348 3438 4584 5022 5157 5921 6696 6876 10044 10314 11842 13752 15471 17763 20088 20628 23684 30942 35526 41256 47368 53289 61884 71052 106578 123768 142104 159867 213156 319734 426312 479601 639468 959202 1278936 1918404 3836808