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442630132 = 227229431811
BaseRepresentation
bin11010011000011…
…111111111110100
31010211212221101121
4122120133333310
51401303131012
6111531033324
713653202600
oct3230377764
91124787347
10442630132
1120794262a
1210429b844
1370919329
1442b00500
1528cd4a07
hex1a61fff4

442630132 has 72 divisors (see below), whose sum is σ = 954344160. Its totient is φ = 178799040.

The previous prime is 442630087. The next prime is 442630141. The reversal of 442630132 is 231036244.

It is a junction number, because it is equal to n+sod(n) for n = 442630097 and 442630106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243507 + ... + 245317.

It is an arithmetic number, because the mean of its divisors is an integer number (13254780).

Almost surely, 2442630132 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 442630132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477172080).

442630132 is an abundant number, since it is smaller than the sum of its proper divisors (511714028).

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

442630132 is a wasteful number, since it uses less digits than its factorization.

442630132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 442630132 is about 21038.7768655880. The cubic root of 442630132 is about 762.1029774741.

Adding to 442630132 its reverse (231036244), we get a palindrome (673666376).

The spelling of 442630132 in words is "four hundred forty-two million, six hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 43 49 58 86 98 116 172 196 203 301 406 602 812 1204 1247 1421 1811 2107 2494 2842 3622 4214 4988 5684 7244 8428 8729 12677 17458 25354 34916 50708 52519 61103 77873 88739 105038 122206 155746 177478 210076 244412 311492 354956 367633 545111 735266 1090222 1470532 2180444 2258317 2573431 3815777 4516634 5146862 7631554 9033268 10293724 15263108 15808219 31616438 63232876 110657533 221315066 442630132