Search a number
-
+
2483792 = 242953101
BaseRepresentation
bin1001011110011001010000
311200012010022
421132121100
51113440132
6125123012
730053243
oct11363120
94605108
102483792
111447123
129b9468
1368c6cc
1448925a
15340e12
hex25e650

2483792 has 40 divisors (see below), whose sum is σ = 5122440. Its totient is φ = 1164800.

The previous prime is 2483777. The next prime is 2483797. The reversal of 2483792 is 2973842.

It can be written as a sum of positive squares in 4 ways, for example, as 1308736 + 1175056 = 1144^2 + 1084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2483797) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24542 + ... + 24642.

It is an arithmetic number, because the mean of its divisors is an integer number (128061).

22483792 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 2483792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561220).

2483792 is an abundant number, since it is smaller than the sum of its proper divisors (2638648).

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

2483792 is a wasteful number, since it uses less digits than its factorization.

2483792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 185 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 2483792 is about 1576.0050761340. The cubic root of 2483792 is about 135.4269428204.

The spelling of 2483792 in words is "two million, four hundred eighty-three thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 29 53 58 101 106 116 202 212 232 404 424 464 808 848 1537 1616 2929 3074 5353 5858 6148 10706 11716 12296 21412 23432 24592 42824 46864 85648 155237 310474 620948 1241896 2483792