Search a number
-
+
442122552 = 233219794091
BaseRepresentation
bin11010010110100…
…100000100111000
31010210221011010100
4122112210010320
51401140410202
6111512115400
713645660014
oct3226440470
91123834110
10442122552
11207626243
12104095b60
137079c2a1
1442a0b544
1528c3441c
hex1a5a4138

442122552 has 96 divisors (see below), whose sum is σ = 1276704000. Its totient is φ = 137816640.

The previous prime is 442122539. The next prime is 442122563. The reversal of 442122552 is 255221244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106027 + ... + 110117.

It is an arithmetic number, because the mean of its divisors is an integer number (13299000).

Almost surely, 2442122552 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 442122552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638352000).

442122552 is an abundant number, since it is smaller than the sum of its proper divisors (834581448).

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

442122552 is a wasteful number, since it uses less digits than its factorization.

442122552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4194 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 442122552 is about 21026.7104417215. The cubic root of 442122552 is about 761.8115556910.

Adding to 442122552 its reverse (255221244), we get a palindrome (697343796).

It can be divided in two parts, 44212 and 2552, that added together give a palindrome (46764).

The spelling of 442122552 in words is "four hundred forty-two million, one hundred twenty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 79 114 152 158 171 228 237 316 342 456 474 632 684 711 948 1368 1422 1501 1896 2844 3002 4091 4503 5688 6004 8182 9006 12008 12273 13509 16364 18012 24546 27018 32728 36024 36819 49092 54036 73638 77729 98184 108072 147276 155458 233187 294552 310916 323189 466374 621832 646378 699561 932748 969567 1292756 1399122 1865496 1939134 2585512 2798244 2908701 3878268 5596488 5817402 6140591 7756536 11634804 12281182 18421773 23269608 24562364 36843546 49124728 55265319 73687092 110530638 147374184 221061276 442122552