Search a number
-
+
442315552 = 2572282089
BaseRepresentation
bin11010010111010…
…011001100100000
31010211021221212111
4122113103030200
51401213044202
6111520205104
713650422500
oct3227231440
91124257774
10442315552
11207748248
12104169794
13708390a3
1442a5ba00
1528c716d7
hex1a5d3320

442315552 has 36 divisors (see below), whose sum is σ = 1012985190. Its totient is φ = 189563136.

The previous prime is 442315547. The next prime is 442315567. The reversal of 442315552 is 255513244.

It can be written as a sum of positive squares in only one way, i.e., 344622096 + 97693456 = 18564^2 + 9884^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 139477 + ... + 142612.

Almost surely, 2442315552 is an apocalyptic number.

It is an amenable number.

442315552 is an abundant number, since it is smaller than the sum of its proper divisors (570669638).

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

442315552 is a wasteful number, since it uses less digits than its factorization.

442315552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282113 (or 282098 counting only the distinct ones).

The product of its digits is 24000, while the sum is 31.

The square root of 442315552 is about 21031.2993416955. The cubic root of 442315552 is about 761.9223909036.

Adding to 442315552 its reverse (255513244), we get a palindrome (697828796).

The spelling of 442315552 in words is "four hundred forty-two million, three hundred fifteen thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 282089 564178 1128356 1974623 2256712 3949246 4513424 7898492 9026848 13822361 15796984 27644722 31593968 55289444 63187936 110578888 221157776 442315552