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2042432 = 2674797
BaseRepresentation
bin111110010101001000000
310211202200122
413302221000
51010324212
6111435412
723234420
oct7625100
93752618
102042432
111175567
12825b68
13566852
143b2480
152a5272
hex1f2a40

2042432 has 56 divisors (see below), whose sum is σ = 4779264. Its totient is φ = 847872.

The previous prime is 2042429. The next prime is 2042449. The reversal of 2042432 is 2342402.

It is a tau number, because it is divible by the number of its divisors (56).

It is a self number, because there is not a number n which added to its sum of digits gives 2042432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21008 + ... + 21104.

It is an arithmetic number, because the mean of its divisors is an integer number (85344).

22042432 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 2042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389632).

2042432 is an abundant number, since it is smaller than the sum of its proper divisors (2736832).

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

2042432 is an equidigital number, since it uses as much as digits as its factorization.

2042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 2042432 is about 1429.1368024091. The cubic root of 2042432 is about 126.8768931262.

Adding to 2042432 its reverse (2342402), we get a palindrome (4384834).

The spelling of 2042432 in words is "two million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 64 94 97 112 188 194 224 329 376 388 448 658 679 752 776 1316 1358 1504 1552 2632 2716 3008 3104 4559 5264 5432 6208 9118 10528 10864 18236 21056 21728 31913 36472 43456 63826 72944 127652 145888 255304 291776 510608 1021216 2042432