Search a number
-
+
831948312 = 23313171011553
BaseRepresentation
bin110001100101101…
…000011000011000
32010222110100112110
4301211220120120
53200434321222
6214315312320
726421305166
oct6145503030
92128410473
10831948312
11397682098
121b274b6a0
1310348a910
147c6c4236
154d08830c
hex31968618

831948312 has 128 divisors (see below), whose sum is σ = 2396640960. Its totient is φ = 238387200.

The previous prime is 831948311. The next prime is 831948323. The reversal of 831948312 is 213849138.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (831948311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 534928 + ... + 536480.

Almost surely, 2831948312 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 831948312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198320480).

831948312 is an abundant number, since it is smaller than the sum of its proper divisors (1564692648).

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

831948312 is a wasteful number, since it uses less digits than its factorization.

831948312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1689 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 831948312 is about 28843.5142103038. The cubic root of 831948312 is about 940.5143977960.

The spelling of 831948312 in words is "eight hundred thirty-one million, nine hundred forty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 101 102 104 136 156 202 204 221 303 312 404 408 442 606 663 808 884 1212 1313 1326 1553 1717 1768 2424 2626 2652 3106 3434 3939 4659 5151 5252 5304 6212 6868 7878 9318 10302 10504 12424 13736 15756 18636 20189 20604 22321 26401 31512 37272 40378 41208 44642 52802 60567 66963 79203 80756 89284 105604 121134 133926 156853 158406 161512 178568 211208 242268 267852 313706 316812 343213 470559 484536 535704 627412 633624 686426 941118 1029639 1254824 1372852 1882236 2039089 2059278 2666501 2745704 3764472 4078178 4118556 5333002 6117267 7999503 8156356 8237112 10666004 12234534 15999006 16312712 21332008 24469068 31998012 34664513 48938136 63996024 69329026 103993539 138658052 207987078 277316104 415974156 831948312