Search a number
-
+
835020432 = 243229414877
BaseRepresentation
bin110001110001010…
…110011010010000
32011012020102200200
4301301112122100
53202231123212
6214505215200
726456361621
oct6161263220
92135212620
10835020432
11399390234
121b3791500
13103cc503c
147cc83a48
154d4936dc
hex31c56690

835020432 has 120 divisors (see below), whose sum is σ = 2476950840. Its totient is φ = 262133760.

The previous prime is 835020413. The next prime is 835020437. The reversal of 835020432 is 234020538.

It can be written as a sum of positive squares in 4 ways, for example, as 41616 + 834978816 = 204^2 + 28896^2 .

It is a junction number, because it is equal to n+sod(n) for n = 835020396 and 835020405.

It is not an unprimeable number, because it can be changed into a prime (835020437) 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 23 ways as a sum of consecutive naturals, for example, 168778 + ... + 173654.

It is an arithmetic number, because the mean of its divisors is an integer number (20641257).

Almost surely, 2835020432 is an apocalyptic number.

835020432 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 835020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238475420).

835020432 is an abundant number, since it is smaller than the sum of its proper divisors (1641930408).

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

835020432 is a wasteful number, since it uses less digits than its factorization.

835020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4961 (or 4952 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 835020432 is about 28896.7200906954. The cubic root of 835020432 is about 941.6706490586.

It can be divided in two parts, 8350 and 20432, that added together give a palindrome (28782).

The spelling of 835020432 in words is "eight hundred thirty-five million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 41 48 58 72 82 87 116 123 144 164 174 232 246 261 328 348 369 464 492 522 656 696 738 984 1044 1189 1392 1476 1968 2088 2378 2952 3567 4176 4756 4877 5904 7134 9512 9754 10701 14268 14631 19024 19508 21402 28536 29262 39016 42804 43893 57072 58524 78032 85608 87786 117048 141433 171216 175572 199957 234096 282866 351144 399914 424299 565732 599871 702288 799828 848598 1131464 1199742 1272897 1599656 1697196 1799613 2262928 2399484 2545794 3199312 3394392 3599226 4798968 5091588 5798753 6788784 7198452 9597936 10183176 11597506 14396904 17396259 20366352 23195012 28793808 34792518 46390024 52188777 69585036 92780048 104377554 139170072 208755108 278340144 417510216 835020432