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3993232 = 241753277
BaseRepresentation
bin1111001110111010010000
321111212200111
433032322100
52010240412
6221331104
745641035
oct17167220
97455614
103993232
1122881a1
121406a94
13a9a779
1475d38c
1553d2a7
hex3cee90

3993232 has 40 divisors (see below), whose sum is σ = 8376696. Its totient is φ = 1837056.

The previous prime is 3993229. The next prime is 3993233. The reversal of 3993232 is 2323993.

It can be written as a sum of positive squares in 4 ways, for example, as 839056 + 3154176 = 916^2 + 1776^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3993194 and 3993203.

It is not an unprimeable number, because it can be changed into a prime (3993233) 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, 14278 + ... + 14554.

Almost surely, 23993232 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 3993232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4188348).

3993232 is an abundant number, since it is smaller than the sum of its proper divisors (4383464).

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

3993232 is a wasteful number, since it uses less digits than its factorization.

3993232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 8748, while the sum is 31.

The square root of 3993232 is about 1998.3072836779. The cubic root of 3993232 is about 158.6505252354.

It can be divided in two parts, 3993 and 232, that added together give a square (4225 = 652).

The spelling of 3993232 in words is "three million, nine hundred ninety-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 277 424 554 848 901 1108 1802 2216 3604 4432 4709 7208 9418 14416 14681 18836 29362 37672 58724 75344 117448 234896 249577 499154 998308 1996616 3993232