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442651244 = 227293471571
BaseRepresentation
bin11010011000100…
…101001001101100
31010211221000100112
4122120211021230
51401304314434
6111531315152
713653321260
oct3230451154
91124830315
10442651244
11207957482
121042abab8
1370925b19
1442b080a0
1528cdadce
hex1a62526c

442651244 has 48 divisors (see below), whose sum is σ = 919054080. Its totient is φ = 182521920.

The previous prime is 442651229. The next prime is 442651249. The reversal of 442651244 is 442156244.

It is a self number, because there is not a number n which added to its sum of digits gives 442651244.

It is not an unprimeable number, because it can be changed into a prime (442651249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280979 + ... + 282549.

It is an arithmetic number, because the mean of its divisors is an integer number (19146960).

Almost surely, 2442651244 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 442651244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459527040).

442651244 is an abundant number, since it is smaller than the sum of its proper divisors (476402836).

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

442651244 is a wasteful number, since it uses less digits than its factorization.

442651244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1956 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 442651244 is about 21039.2785997999. The cubic root of 442651244 is about 762.1150938824.

The spelling of 442651244 in words is "four hundred forty-two million, six hundred fifty-one thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 29 58 116 203 347 406 694 812 1388 1571 2429 3142 4858 6284 9716 10063 10997 20126 21994 40252 43988 45559 70441 91118 140882 182236 281764 318913 545137 637826 1090274 1275652 2180548 3815959 7631918 15263836 15808973 31617946 63235892 110662811 221325622 442651244