Search a number
-
+
831535104 = 2113413301
BaseRepresentation
bin110001100100000…
…011100000000000
32010221200100201110
4301210003200000
53200333110404
6214302403320
726414634411
oct6144034000
92127610643
10831535104
1139741a6a4
121b2590540
1310337480a
147c617808
154d005b89
hex31903800

831535104 has 96 divisors (see below), whose sum is σ = 2271643920. Its totient is φ = 270336000.

The previous prime is 831535079. The next prime is 831535109. The reversal of 831535104 is 401535138.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831535109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250254 + ... + 253554.

Almost surely, 2831535104 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 831535104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135821960).

831535104 is an abundant number, since it is smaller than the sum of its proper divisors (1440108816).

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

831535104 is a wasteful number, since it uses less digits than its factorization.

831535104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367 (or 3347 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 831535104 is about 28836.3503932103. The cubic root of 831535104 is about 940.3586619864.

The spelling of 831535104 in words is "eight hundred thirty-one million, five hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1024 1312 1536 1968 2048 2624 3072 3301 3936 5248 6144 6602 7872 9903 10496 13204 15744 19806 20992 26408 31488 39612 41984 52816 62976 79224 83968 105632 125952 135341 158448 211264 251904 270682 316896 406023 422528 541364 633792 812046 845056 1082728 1267584 1624092 1690112 2165456 2535168 3248184 3380224 4330912 5070336 6496368 6760448 8661824 10140672 12992736 17323648 20281344 25985472 34647296 51970944 69294592 103941888 138589184 207883776 277178368 415767552 831535104