Search a number
-
+
919842 = 237112181
BaseRepresentation
bin11100000100100100010
31201201210020
43200210202
5213413332
631414310
710550520
oct3404442
91651706
10919842
11579100
12384396
132628b1
1419d310
1513282c
hexe0922

919842 has 48 divisors (see below), whose sum is σ = 2323776. Its totient is φ = 237600.

The previous prime is 919823. The next prime is 919859. The reversal of 919842 is 248919.

It is a super-2 number, since 2×9198422 = 1692218609928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 919842.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4992 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (48412).

2919842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 919842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1161888).

919842 is an abundant number, since it is smaller than the sum of its proper divisors (1403934).

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

919842 is a wasteful number, since it uses less digits than its factorization.

919842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 204 counting only the distinct ones).

The product of its digits is 5184, while the sum is 33.

The square root of 919842 is about 959.0839379324. The cubic root of 919842 is about 97.2533145845.

The spelling of 919842 in words is "nine hundred nineteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 181 231 242 362 363 462 543 726 847 1086 1267 1694 1991 2534 2541 3801 3982 5082 5973 7602 11946 13937 21901 27874 41811 43802 65703 83622 131406 153307 306614 459921 919842