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2042032 = 242331179
BaseRepresentation
bin111110010100010110000
310211202010211
413302202300
51010321112
6111433504
723233306
oct7624260
93752124
102042032
111175233
12825894
13566605
143b2276
152a50a7
hex1f28b0

2042032 has 40 divisors (see below), whose sum is σ = 4285440. Its totient is φ = 939840.

The previous prime is 2042021. The next prime is 2042039. The reversal of 2042032 is 2302402.

It is not an unprimeable number, because it can be changed into a prime (2042039) 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, 11319 + ... + 11497.

It is an arithmetic number, because the mean of its divisors is an integer number (107136).

22042032 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 2042032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142720).

2042032 is an abundant number, since it is smaller than the sum of its proper divisors (2243408).

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

2042032 is a wasteful number, since it uses less digits than its factorization.

2042032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 2042032 is about 1428.9968509412. The cubic root of 2042032 is about 126.8686098523.

Adding to 2042032 its reverse (2302402), we get a palindrome (4344434).

The spelling of 2042032 in words is "two million, forty-two thousand, thirty-two", and thus it is an eban number.

Divisors: 1 2 4 8 16 23 31 46 62 92 124 179 184 248 358 368 496 713 716 1426 1432 2852 2864 4117 5549 5704 8234 11098 11408 16468 22196 32936 44392 65872 88784 127627 255254 510508 1021016 2042032