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3848436 = 2232532017
BaseRepresentation
bin1110101011100011110100
321020112001200
432223203310
51441122221
6214252500
744465634
oct16534364
97215050
103848436
112199429
121357130
13a498a7
147226c4
15510426
hex3ab8f4

3848436 has 36 divisors (see below), whose sum is σ = 9916452. Its totient is φ = 1257984.

The previous prime is 3848419. The next prime is 3848437. The reversal of 3848436 is 6348483.

It can be written as a sum of positive squares in 2 ways, for example, as 3027600 + 820836 = 1740^2 + 906^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 3848436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3848437) 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 11 ways as a sum of consecutive naturals, for example, 900 + ... + 2916.

It is an arithmetic number, because the mean of its divisors is an integer number (275457).

Almost surely, 23848436 is an apocalyptic number.

3848436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3848436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958226).

3848436 is an abundant number, since it is smaller than the sum of its proper divisors (6068016).

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

3848436 is a wasteful number, since it uses less digits than its factorization.

3848436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2075 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 3848436 is about 1961.7431024474. The cubic root of 3848436 is about 156.7092947730.

The spelling of 3848436 in words is "three million, eight hundred forty-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 954 1908 2017 4034 6051 8068 12102 18153 24204 36306 72612 106901 213802 320703 427604 641406 962109 1282812 1924218 3848436