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442102452 = 2231110133161
BaseRepresentation
bin11010010110011…
…111001010110100
31010210220010112220
4122112133022310
51401134234302
6111511442340
713645544301
oct3226371264
91123803486
10442102452
11207612130
121040863b0
13707930ac
1442a040a8
1528c2d4bc
hex1a59f2b4

442102452 has 48 divisors (see below), whose sum is σ = 1136528064. Its totient is φ = 132640000.

The previous prime is 442102447. The next prime is 442102457. The reversal of 442102452 is 254201244.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (442102447) and next prime (442102457).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442102457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3249 + ... + 29912.

It is an arithmetic number, because the mean of its divisors is an integer number (23677668).

Almost surely, 2442102452 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 442102452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568264032).

442102452 is an abundant number, since it is smaller than the sum of its proper divisors (694425612).

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

442102452 is a wasteful number, since it uses less digits than its factorization.

442102452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33280 (or 33278 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 442102452 is about 21026.2324727945. The cubic root of 442102452 is about 761.8000108948.

Adding to 442102452 its reverse (254201244), we get a palindrome (696303696).

The spelling of 442102452 in words is "four hundred forty-two million, one hundred two thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 202 303 404 606 1111 1212 2222 3333 4444 6666 13332 33161 66322 99483 132644 198966 364771 397932 729542 1094313 1459084 2188626 3349261 4377252 6698522 10047783 13397044 20095566 36841871 40191132 73683742 110525613 147367484 221051226 442102452