Search a number
-
+
8231392 = 251347421
BaseRepresentation
bin11111011001100111100000
3120111012100101
4133121213200
54101401032
6452232144
7126652141
oct37314740
916435311
108231392
114712404
12290b654
131922860
141143ac8
15ac8de7
hex7d99e0

8231392 has 48 divisors (see below), whose sum is σ = 17865792. Its totient is φ = 3709440.

The previous prime is 8231387. The next prime is 8231393. The reversal of 8231392 is 2931328.

It is a self number, because there is not a number n which added to its sum of digits gives 8231392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8231393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19342 + ... + 19762.

It is an arithmetic number, because the mean of its divisors is an integer number (372204).

Almost surely, 28231392 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 8231392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8932896).

8231392 is an abundant number, since it is smaller than the sum of its proper divisors (9634400).

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

8231392 is a wasteful number, since it uses less digits than its factorization.

8231392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 483 counting only the distinct ones).

The product of its digits is 2592, while the sum is 28.

The square root of 8231392 is about 2869.0402576471. The cubic root of 8231392 is about 201.9099687017.

The spelling of 8231392 in words is "eight million, two hundred thirty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 421 611 752 842 1222 1504 1684 2444 3368 4888 5473 6736 9776 10946 13472 19552 19787 21892 39574 43784 79148 87568 158296 175136 257231 316592 514462 633184 1028924 2057848 4115696 8231392