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4042032 = 243107787
BaseRepresentation
bin1111011010110100110000
321121100121220
433122310300
52013321112
6222345040
746233231
oct17326460
97540556
104042032
112310925
12142b180
13ab6a47
14773088
1554c98c
hex3dad30

4042032 has 40 divisors (see below), whose sum is σ = 10552896. Its totient is φ = 1333056.

The previous prime is 4042019. The next prime is 4042033. The reversal of 4042032 is 2302404.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4042033) 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, 4743 + ... + 5529.

Almost surely, 24042032 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 4042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5276448).

4042032 is an abundant number, since it is smaller than the sum of its proper divisors (6510864).

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

4042032 is a wasteful number, since it uses less digits than its factorization.

4042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 4042032 is about 2010.4805395726. The cubic root of 4042032 is about 159.2941826316.

Adding to 4042032 its reverse (2302404), we get a palindrome (6344436).

The spelling of 4042032 in words is "four million, forty-two thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 787 856 1284 1574 1712 2361 2568 3148 4722 5136 6296 9444 12592 18888 37776 84209 168418 252627 336836 505254 673672 1010508 1347344 2021016 4042032