Search a number
-
+
839130192 = 2434647477
BaseRepresentation
bin110010000001000…
…001110001010000
32011110222020020000
4302001001301100
53204304131232
6215133250000
726536326465
oct6201016120
92143866200
10839130192
113a0737a2a
121b5033900
13104b03854
147d63366c
154da0627c
hex32041c50

839130192 has 50 divisors (see below), whose sum is σ = 2428689978. Its totient is φ = 279709632.

The previous prime is 839130139. The next prime is 839130197. The reversal of 839130192 is 291031938.

It can be written as a sum of positive squares in only one way, i.e., 736796736 + 102333456 = 27144^2 + 10116^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (839130197) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 322443 + ... + 325034.

Almost surely, 2839130192 is an apocalyptic number.

It is an amenable number.

839130192 is an abundant number, since it is smaller than the sum of its proper divisors (1589559786).

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

839130192 is a wasteful number, since it uses less digits than its factorization.

839130192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647497 (or 647482 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 839130192 is about 28967.7439922407. The cubic root of 839130192 is about 943.2130099404.

It can be divided in two parts, 8391 and 30192, that added together give a palindrome (38583).

The spelling of 839130192 in words is "eight hundred thirty-nine million, one hundred thirty thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 647477 1294954 1942431 2589908 3884862 5179816 5827293 7769724 10359632 11654586 15539448 17481879 23309172 31078896 34963758 46618344 52445637 69927516 93236688 104891274 139855032 209782548 279710064 419565096 839130192