Search a number
-
+
442596 = 223711479
BaseRepresentation
bin1101100000011100100
3211111010110
41230003210
5103130341
613253020
73522240
oct1540344
9744113
10442596
11282590
12194170
131265bb
14b7420
158b216
hex6c0e4

442596 has 48 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 114720.

The previous prime is 442579. The next prime is 442601. The reversal of 442596 is 695244.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

442596 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 685 + ... + 1163.

It is an arithmetic number, because the mean of its divisors is an integer number (26880).

2442596 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 442596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

442596 is an abundant number, since it is smaller than the sum of its proper divisors (847644).

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

442596 is a wasteful number, since it uses less digits than its factorization.

442596 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 502 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 442596 is about 665.2788888880. The cubic root of 442596 is about 76.2083387930.

The spelling of 442596 in words is "four hundred forty-two thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 479 924 958 1437 1916 2874 3353 5269 5748 6706 10059 10538 13412 15807 20118 21076 31614 36883 40236 63228 73766 110649 147532 221298 442596