Search a number
-
+
831520050 = 235271163479
BaseRepresentation
bin110001100011111…
…111110100110010
32010221122121001220
4301203333310302
53200332120200
6214302205510
726414542464
oct6143776462
92127577056
10831520050
1139740a359
121b2583896
1310336a9ca
147c612134
154d0014a0
hex318ffd32

831520050 has 96 divisors (see below), whose sum is σ = 2108436480. Its totient is φ = 216820800.

The previous prime is 831520033. The next prime is 831520051. The reversal of 831520050 is 50025138.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 831520050.

It is not an unprimeable number, because it can be changed into a prime (831520051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1735711 + ... + 1736189.

It is an arithmetic number, because the mean of its divisors is an integer number (21962880).

Almost surely, 2831520050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831520050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054218240).

831520050 is an abundant number, since it is smaller than the sum of its proper divisors (1276916430).

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

831520050 is a wasteful number, since it uses less digits than its factorization.

831520050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 831520050 is about 28836.0893673189. The cubic root of 831520050 is about 940.3529872431.

Adding to 831520050 its reverse (50025138), we get a palindrome (881545188).

The spelling of 831520050 in words is "eight hundred thirty-one million, five hundred twenty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 71 75 142 150 163 213 326 355 426 479 489 710 815 958 978 1065 1437 1630 1775 2130 2395 2445 2874 3550 4075 4790 4890 5325 7185 8150 10650 11573 11975 12225 14370 23146 23950 24450 34009 34719 35925 57865 68018 69438 71850 78077 102027 115730 156154 170045 173595 204054 234231 289325 340090 347190 390385 468462 510135 578650 780770 850225 867975 1020270 1171155 1700450 1735950 1951925 2342310 2550675 3903850 5101350 5543467 5855775 11086934 11711550 16630401 27717335 33260802 55434670 83152005 138586675 166304010 277173350 415760025 831520050