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42031232 = 27418009
BaseRepresentation
bin1010000001010…
…1100010000000
32221002102000022
42200111202000
541224444412
64100513012
71020155015
oct240254200
987072008
1042031232
11217a8761
12120ab768
138928269
14582170c
153a53a72
hex2815880

42031232 has 32 divisors (see below), whose sum is σ = 85787100. Its totient is φ = 20500480.

The previous prime is 42031201. The next prime is 42031243. The reversal of 42031232 is 23213024.

It can be written as a sum of positive squares in 2 ways, for example, as 40246336 + 1784896 = 6344^2 + 1336^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 42031232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1244 + ... + 9252.

Almost surely, 242031232 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 42031232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42893550).

42031232 is an abundant number, since it is smaller than the sum of its proper divisors (43755868).

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

42031232 is an equidigital number, since it uses as much as digits as its factorization.

42031232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8064 (or 8052 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42031232 is about 6483.1498517310. The cubic root of 42031232 is about 347.6888044612.

Adding to 42031232 its reverse (23213024), we get a palindrome (65244256).

The spelling of 42031232 in words is "forty-two million, thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 8009 16018 32036 64072 128144 256288 328369 512576 656738 1025152 1313476 2626952 5253904 10507808 21015616 42031232