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4233132 = 2232591993
BaseRepresentation
bin10000001001011110101100
321222001202200
4100021132230
52040430012
6230421500
750660331
oct20113654
97861680
104233132
112431462
121501890
13b52a17
147c2988
155893dc
hex4097ac

4233132 has 36 divisors (see below), whose sum is σ = 10887240. Its totient is φ = 1386432.

The previous prime is 4233121. The next prime is 4233139. The reversal of 4233132 is 2313324.

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 (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4233139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1128 + ... + 3120.

Almost surely, 24233132 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 4233132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443620).

4233132 is an abundant number, since it is smaller than the sum of its proper divisors (6654108).

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

4233132 is a wasteful number, since it uses less digits than its factorization.

4233132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2062 (or 2057 counting only the distinct ones).

The product of its digits is 432, while the sum is 18.

The square root of 4233132 is about 2057.4576544853. The cubic root of 4233132 is about 161.7660087816.

Adding to 4233132 its reverse (2313324), we get a palindrome (6546456).

The spelling of 4233132 in words is "four million, two hundred thirty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1062 1993 2124 3986 5979 7972 11958 17937 23916 35874 71748 117587 235174 352761 470348 705522 1058283 1411044 2116566 4233132