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835138816 = 281091732
BaseRepresentation
bin110001110001110…
…011010100000000
32011012110110002021
4301301303110000
53202243420231
6214511531224
726460364021
oct6161632400
92135413067
10835138816
11399461176
121b3829b14
13104036ba5
147ccb4c48
154d4b8811
hex31c73500

835138816 has 54 divisors (see below), whose sum is σ = 1692089630. Its totient is φ = 411346944.

The previous prime is 835138807. The next prime is 835138823. The reversal of 835138816 is 618831538.

It can be written as a sum of positive squares in 3 ways, for example, as 571401216 + 263737600 = 23904^2 + 16240^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4827306 + ... + 4827478.

Almost surely, 2835138816 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 835138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846044815).

835138816 is an abundant number, since it is smaller than the sum of its proper divisors (856950814).

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

835138816 is an equidigital number, since it uses as much as digits as its factorization.

835138816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 284 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 835138816 is about 28898.7684166644. The cubic root of 835138816 is about 941.7151483571.

It can be divided in two parts, 83513 and 8816, that added together give a palindrome (92329).

The spelling of 835138816 in words is "eight hundred thirty-five million, one hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 109 128 173 218 256 346 436 692 872 1384 1744 2768 3488 5536 6976 11072 13952 18857 22144 27904 29929 37714 44288 59858 75428 119716 150856 239432 301712 478864 603424 957728 1206848 1915456 2413696 3262261 3830912 4827392 6524522 7661824 13049044 26098088 52196176 104392352 208784704 417569408 835138816