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442063232 = 27131132351
BaseRepresentation
bin11010010110010…
…101100110000000
31010210211010202022
4122112111212000
51401132010412
6111510541012
713645322042
oct3226254600
91123733668
10442063232
11207595716
12104067768
137077b2a0
14429d3a92
1528c21a72
hex1a595980

442063232 has 64 divisors (see below), whose sum is σ = 957216960. Its totient is φ = 202137600.

The previous prime is 442063231. The next prime is 442063249. The reversal of 442063232 is 232360244.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442063231) 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, 186857 + ... + 189207.

It is an arithmetic number, because the mean of its divisors is an integer number (14956515).

Almost surely, 2442063232 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 442063232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478608480).

442063232 is an abundant number, since it is smaller than the sum of its proper divisors (515153728).

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

442063232 is a wasteful number, since it uses less digits than its factorization.

442063232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2479 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 442063232 is about 21025.2998076127. The cubic root of 442063232 is about 761.7774831754. Note that the first 3 decimals are identical.

The spelling of 442063232 in words is "four hundred forty-two million, sixty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 113 128 208 226 416 452 832 904 1469 1664 1808 2351 2938 3616 4702 5876 7232 9404 11752 14464 18808 23504 30563 37616 47008 61126 75232 94016 122252 150464 188032 244504 265663 300928 489008 531326 978016 1062652 1956032 2125304 3453619 3912064 4250608 6907238 8501216 13814476 17002432 27628952 34004864 55257904 110515808 221031616 442063232