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42636032 = 28295743
BaseRepresentation
bin1010001010100…
…1001100000000
32222020010122022
42202221030000
541403323112
64121501012
71025254205
oct242511400
988203568
1042636032
112208109a
1212341768
138aaa62a
14593bcac
153b22d72
hex28a9300

42636032 has 36 divisors (see below), whose sum is σ = 88055520. Its totient is φ = 20579328.

The previous prime is 42636031. The next prime is 42636071. The reversal of 42636032 is 23063624.

It is a junction number, because it is equal to n+sod(n) for n = 42635992 and 42636010.

It is not an unprimeable number, because it can be changed into a prime (42636031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4553 + ... + 10295.

Almost surely, 242636032 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 42636032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44027760).

42636032 is an abundant number, since it is smaller than the sum of its proper divisors (45419488).

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

42636032 is an equidigital number, since it uses as much as digits as its factorization.

42636032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5788 (or 5774 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 42636032 is about 6529.6272481666. The cubic root of 42636032 is about 349.3485351011.

Adding to 42636032 its reverse (23063624), we get a palindrome (65699656).

The spelling of 42636032 in words is "forty-two million, six hundred thirty-six thousand, thirty-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 3712 5743 7424 11486 22972 45944 91888 166547 183776 333094 367552 666188 735104 1332376 1470208 2664752 5329504 10659008 21318016 42636032