Search a number
-
+
442023512 = 23723073673
BaseRepresentation
bin11010010110001…
…011111001011000
31010210202010021012
4122112023321120
51401124223022
6111510033052
713645065200
oct3226137130
91123663235
10442023512
11207568897
12104048788
1370766198
14429c3400
1528c14de2
hex1a58be58

442023512 has 48 divisors (see below), whose sum is σ = 967511160. Its totient is φ = 188770176.

The previous prime is 442023487. The next prime is 442023523. The reversal of 442023512 is 215320244.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118508 + ... + 122180.

Almost surely, 2442023512 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 442023512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483755580).

442023512 is an abundant number, since it is smaller than the sum of its proper divisors (525487648).

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

442023512 is a wasteful number, since it uses less digits than its factorization.

442023512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3989 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 442023512 is about 21024.3552100891. The cubic root of 442023512 is about 761.7546669010.

Adding to 442023512 its reverse (215320244), we get a palindrome (657343756).

The spelling of 442023512 in words is "four hundred forty-two million, twenty-three thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 307 392 614 1228 2149 2456 3673 4298 7346 8596 14692 15043 17192 25711 29384 30086 51422 60172 102844 120344 179977 205688 359954 719908 1127611 1439816 2255222 4510444 7893277 9020888 15786554 31573108 55252939 63146216 110505878 221011756 442023512