Search a number
-
+
442284492 = 2231324672
BaseRepresentation
bin11010010111001…
…011100111001100
31010211020101021010
4122113023213030
51401211100432
6111515405220
713650233106
oct3227134714
91124211233
10442284492
11207726981
12104153810
1370827c00
1442a50576
1528c673cc
hex1a5cb9cc

442284492 has 54 divisors (see below), whose sum is σ = 1119886068. Its totient is φ = 135796128.

The previous prime is 442284449. The next prime is 442284499. The reversal of 442284492 is 294482244.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 442284492.

It is not an unprimeable number, because it can be changed into a prime (442284499) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 946843 + ... + 947309.

Almost surely, 2442284492 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 442284492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559943034).

442284492 is an abundant number, since it is smaller than the sum of its proper divisors (677601576).

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

442284492 is a wasteful number, since it uses less digits than its factorization.

442284492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 485 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 442284492 is about 21030.5609055013. The cubic root of 442284492 is about 761.9045560771.

The spelling of 442284492 in words is "four hundred forty-two million, two hundred eighty-four thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 467 507 676 934 1014 1401 1868 2028 2802 5604 6071 12142 18213 24284 36426 72852 78923 157846 218089 236769 315692 436178 473538 654267 872356 947076 1308534 2617068 2835157 5670314 8505471 11340628 17010942 34021884 36857041 73714082 110571123 147428164 221142246 442284492