Search a number
-
+
842448 = 24317551
BaseRepresentation
bin11001101101011010000
31120210121210
43031223100
5203424243
630020120
710106055
oct3155320
91523553
10842448
11525a42
12347640
132365b9
1417d02c
15119933
hexcdad0

842448 has 20 divisors (see below), whose sum is σ = 2176448. Its totient is φ = 280800.

The previous prime is 842447. The next prime is 842449. The reversal of 842448 is 844248.

842448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (842447) and next prime (842449).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 15.

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 842448.

It is not an unprimeable number, because it can be changed into a prime (842447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8728 + ... + 8823.

2842448 is an apocalyptic number.

It is an amenable number.

842448 is an abundant number, since it is smaller than the sum of its proper divisors (1334000).

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

842448 is a wasteful number, since it uses less digits than its factorization.

842448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17562 (or 17556 counting only the distinct ones).

The product of its digits is 8192, while the sum is 30.

The square root of 842448 is about 917.8496608922. The cubic root of 842448 is about 94.4454487654.

The spelling of 842448 in words is "eight hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 17551 35102 52653 70204 105306 140408 210612 280816 421224 842448