Search a number
-
+
842903829 = 32233401957
BaseRepresentation
bin110010001111011…
…011000100010101
32011202001221200100
4302033123010111
53211240410304
6215350204313
726613364365
oct6217330425
92152057610
10842903829
113a2885139
121b6353699
13105825381
147dd369a5
154deee439
hex323db115

842903829 has 12 divisors (see below), whose sum is σ = 1222756236. Its totient is φ = 559522752.

The previous prime is 842903827. The next prime is 842903833. The reversal of 842903829 is 928309248.

842903829 is digitally balanced in base 2, 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 2 ways, for example, as 610188804 + 232715025 = 24702^2 + 15255^2 .

It is not a de Polignac number, because 842903829 - 21 = 842903827 is a prime.

It is a super-2 number, since 2×8429038292 = 1420973729885722482, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (842903827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198882 + ... + 203075.

It is an arithmetic number, because the mean of its divisors is an integer number (101896353).

Almost surely, 2842903829 is an apocalyptic number.

It is an amenable number.

842903829 is a deficient number, since it is larger than the sum of its proper divisors (379852407).

842903829 is a wasteful number, since it uses less digits than its factorization.

842903829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402196 (or 402193 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 842903829 is about 29032.8060820858. The cubic root of 842903829 is about 944.6247977196.

The spelling of 842903829 in words is "eight hundred forty-two million, nine hundred three thousand, eight hundred twenty-nine".

Divisors: 1 3 9 233 699 2097 401957 1205871 3617613 93655981 280967943 842903829