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42242032 = 2471372753
BaseRepresentation
bin1010000100100…
…0111111110000
32221111010011201
42201020333300
541303221112
64105220544
71022023420
oct241107760
987433151
1042242032
1121932078
1212191754
1389a01b1
145878480
153a96257
hex2848ff0

42242032 has 40 divisors (see below), whose sum is σ = 94252896. Its totient is φ = 17965056.

The previous prime is 42242029. The next prime is 42242033. The reversal of 42242032 is 23024224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242033) 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, 13968 + ... + 16720.

Almost surely, 242242032 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 42242032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47126448).

42242032 is an abundant number, since it is smaller than the sum of its proper divisors (52010864).

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

42242032 is a wasteful number, since it uses less digits than its factorization.

42242032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 42242032 is about 6499.3870480223. The cubic root of 42242032 is about 348.2690920859.

Adding to 42242032 its reverse (23024224), we get a palindrome (65266256).

The spelling of 42242032 in words is "forty-two million, two hundred forty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2192 2753 3836 5506 7672 11012 15344 19271 22024 38542 44048 77084 154168 308336 377161 754322 1508644 2640127 3017288 5280254 6034576 10560508 21121016 42242032