Search a number
-
+
831275328 = 26313418123
BaseRepresentation
bin110001100011000…
…100000101000000
32010221012011101010
4301203010011000
53200301302303
6214253040520
726412503142
oct6143040500
92127164333
10831275328
11397262504
121b2486140
131032b34c0
147c58ac92
154cea3c03
hex318c4140

831275328 has 112 divisors (see below), whose sum is σ = 2426671296. Its totient is φ = 249507840.

The previous prime is 831275317. The next prime is 831275329. The reversal of 831275328 is 823572138.

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 (831275329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98275 + ... + 106397.

It is an arithmetic number, because the mean of its divisors is an integer number (21666708).

Almost surely, 2831275328 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 831275328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213335648).

831275328 is an abundant number, since it is smaller than the sum of its proper divisors (1595395968).

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

831275328 is a wasteful number, since it uses less digits than its factorization.

831275328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8192 (or 8182 counting only the distinct ones).

The product of its digits is 80640, while the sum is 39.

The square root of 831275328 is about 28831.8457265573. The cubic root of 831275328 is about 940.2607274340.

The spelling of 831275328 in words is "eight hundred thirty-one million, two hundred seventy-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 41 48 52 64 78 82 96 104 123 156 164 192 208 246 312 328 416 492 533 624 656 832 984 1066 1248 1312 1599 1968 2132 2496 2624 3198 3936 4264 6396 7872 8123 8528 12792 16246 17056 24369 25584 32492 34112 48738 51168 64984 97476 102336 105599 129968 194952 211198 259936 316797 333043 389904 422396 519872 633594 666086 779808 844792 999129 1267188 1332172 1559616 1689584 1998258 2534376 2664344 3379168 3996516 4329559 5068752 5328688 6758336 7993032 8659118 10137504 10657376 12988677 15986064 17318236 20275008 21314752 25977354 31972128 34636472 51954708 63944256 69272944 103909416 138545888 207818832 277091776 415637664 831275328