Search a number
-
+
3835998 = 237877
BaseRepresentation
bin1110101000100001011110
321012220000000
432220201132
51440222443
6214115130
744414445
oct16504136
97186000
103835998
112190051
12134baa6
13a4402a
1471bd5c
1550b8d3
hex3a885e

3835998 has 32 divisors (see below), whose sum is σ = 8639520. Its totient is φ = 1277208.

The previous prime is 3835991. The next prime is 3836047. The reversal of 3835998 is 8995383.

3835998 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835991) 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, 3936 + ... + 4812.

It is an arithmetic number, because the mean of its divisors is an integer number (269985).

Almost surely, 23835998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3835998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4319760).

3835998 is an abundant number, since it is smaller than the sum of its proper divisors (4803522).

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

3835998 is an frugal number, since it uses more digits than its factorization.

3835998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 882 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 3835998 is about 1958.5703969988. The cubic root of 3835998 is about 156.5402863891.

The spelling of 3835998 in words is "three million, eight hundred thirty-five thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 877 1458 1754 2187 2631 4374 5262 7893 15786 23679 47358 71037 142074 213111 426222 639333 1278666 1917999 3835998