Search a number
-
+
1442772 = 22346173
BaseRepresentation
bin101100000001111010100
32201022010000
411200033110
5332132042
650531300
715156222
oct5401724
92638100
101442772
118a5a81
12596b30
133b6916
14297b12
151d774c
hex1603d4

1442772 has 60 divisors (see below), whose sum is σ = 3886036. Its totient is φ = 466560.

The previous prime is 1442743. The next prime is 1442783. The reversal of 1442772 is 2772441.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 352836 + 1089936 = 594^2 + 1044^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19728 + ... + 19800.

21442772 is an apocalyptic number.

1442772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1943018).

1442772 is an abundant number, since it is smaller than the sum of its proper divisors (2443264).

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

1442772 is a wasteful number, since it uses less digits than its factorization.

1442772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 139 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 1442772 is about 1201.1544446906. The cubic root of 1442772 is about 112.9967367946.

It can be divided in two parts, 144 and 2772, that added together give a square (2916 = 542).

The spelling of 1442772 in words is "one million, four hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 73 81 108 122 146 162 183 219 244 292 324 366 438 549 657 732 876 1098 1314 1647 1971 2196 2628 3294 3942 4453 4941 5913 6588 7884 8906 9882 11826 13359 17812 19764 23652 26718 40077 53436 80154 120231 160308 240462 360693 480924 721386 1442772