Search a number
-
+
835031250 = 232562969
BaseRepresentation
bin110001110001011…
…001000011010010
32011012020222112100
4301301121003102
53202232000000
6214505341230
726456435304
oct6161310322
92135228470
10835031250
11399398379
121b3797816
13103cc9c41
147cc87974
154d496a00
hex31c590d2

835031250 has 84 divisors (see below), whose sum is σ = 2262275730. Its totient is φ = 222600000.

The previous prime is 835031237. The next prime is 835031269. The reversal of 835031250 is 52130538.

835031250 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 709210161 + 125821089 = 26631^2 + 11217^2 .

It is an unprimeable number.

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 41 ways as a sum of consecutive naturals, for example, 279766 + ... + 282734.

Almost surely, 2835031250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835031250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131137865).

835031250 is an abundant number, since it is smaller than the sum of its proper divisors (1427244480).

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

835031250 is an equidigital number, since it uses as much as digits as its factorization.

835031250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 835031250 is about 28896.9072739627. The cubic root of 835031250 is about 941.6747156054.

Adding to 835031250 its reverse (52130538), we get a palindrome (887161788).

The spelling of 835031250 in words is "eight hundred thirty-five million, thirty-one thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 2969 3125 3750 5625 5938 6250 8907 9375 11250 14845 15625 17814 18750 26721 28125 29690 31250 44535 46875 53442 56250 74225 89070 93750 133605 140625 148450 222675 267210 281250 371125 445350 668025 742250 1113375 1336050 1855625 2226750 3340125 3711250 5566875 6680250 9278125 11133750 16700625 18556250 27834375 33401250 46390625 55668750 83503125 92781250 139171875 167006250 278343750 417515625 835031250