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831783940 = 225133123329
BaseRepresentation
bin110001100101000…
…000010000000100
32010222011000001121
4301211000100010
53200414041230
6214312003324
726420022031
oct6145002004
92128130047
10831783940
1139757a649
121b2690544
13103430b60
147c680388
154d05477a
hex31940404

831783940 has 72 divisors (see below), whose sum is σ = 1944333720. Its totient is φ = 297123840.

The previous prime is 831783917. The next prime is 831783941. The reversal of 831783940 is 49387138.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4186116 + 827597824 = 2046^2 + 28768^2 .

It is not an unprimeable number, because it can be changed into a prime (831783941) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248196 + ... + 251524.

It is an arithmetic number, because the mean of its divisors is an integer number (27004635).

Almost surely, 2831783940 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 831783940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972166860).

831783940 is an abundant number, since it is smaller than the sum of its proper divisors (1112549780).

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

831783940 is a wasteful number, since it uses less digits than its factorization.

831783940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3413 (or 3380 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 831783940 is about 28840.6646941432. The cubic root of 831783940 is about 940.4524530762.

The spelling of 831783940 in words is "eight hundred thirty-one million, seven hundred eighty-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 31 52 62 65 124 130 155 260 310 403 620 806 961 1612 1922 2015 3329 3844 4030 4805 6658 8060 9610 12493 13316 16645 19220 24986 33290 43277 49972 62465 66580 86554 103199 124930 173108 206398 216385 249860 412796 432770 515995 865540 1031990 1341587 2063980 2683174 3199169 5366348 6398338 6707935 12796676 13415870 15995845 26831740 31991690 41589197 63983380 83178394 166356788 207945985 415891970 831783940