Search a number
-
+
835728384 = 21031631669
BaseRepresentation
bin110001110100000…
…011010000000000
32011020120101211010
4301310003100000
53202421302014
6214532320520
726465400621
oct6164032000
92136511733
10835728384
11399824117
121b3a73140
131041b234a
147cdc9a48
154d583359
hex31d03400

835728384 has 88 divisors (see below), whose sum is σ = 2242529440. Its totient is φ = 276701184.

The previous prime is 835728371. The next prime is 835728463. The reversal of 835728384 is 483827538.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499902 + ... + 501570.

Almost surely, 2835728384 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 835728384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1121264720).

835728384 is an abundant number, since it is smaller than the sum of its proper divisors (1406801056).

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

835728384 is a wasteful number, since it uses less digits than its factorization.

835728384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1837 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 835728384 is about 28908.9671901298. The cubic root of 835728384 is about 941.9366981592.

The spelling of 835728384 in words is "eight hundred thirty-five million, seven hundred twenty-eight thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 163 192 256 326 384 489 512 652 768 978 1024 1304 1536 1669 1956 2608 3072 3338 3912 5007 5216 6676 7824 10014 10432 13352 15648 20028 20864 26704 31296 40056 41728 53408 62592 80112 83456 106816 125184 160224 166912 213632 250368 272047 320448 427264 500736 544094 640896 816141 854528 1088188 1281792 1632282 1709056 2176376 2563584 3264564 4352752 5127168 6529128 8705504 13058256 17411008 26116512 34822016 52233024 69644032 104466048 139288064 208932096 278576128 417864192 835728384