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3823728 = 243372153
BaseRepresentation
bin1110100101100001110000
321012021011120
432211201300
51434324403
6213542240
744333616
oct16454160
97167146
103823728
112181907
121344980
13a3b57c
147176b6
15507e53
hex3a5870

3823728 has 40 divisors (see below), whose sum is σ = 10149648. Its totient is φ = 1239552.

The previous prime is 3823723. The next prime is 3823733. The reversal of 3823728 is 8273283.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3823723) and next prime (3823733).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3823723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 700 + ... + 2852.

Almost surely, 23823728 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 3823728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5074824).

3823728 is an abundant number, since it is smaller than the sum of its proper divisors (6325920).

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

3823728 is a wasteful number, since it uses less digits than its factorization.

3823728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2201 (or 2195 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 3823728 is about 1955.4355013654. The cubic root of 3823728 is about 156.3732024565.

It can be divided in two parts, 3 and 823728, that multiplied together give a square (2471184 = 15722).

The spelling of 3823728 in words is "three million, eight hundred twenty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 2153 4306 6459 8612 12918 17224 25836 34448 51672 79661 103344 159322 238983 318644 477966 637288 955932 1274576 1911864 3823728