Search a number
-
+
3197928864 = 253132439449
BaseRepresentation
bin1011111010011100…
…1000010110100000
322020212110121200210
42332213020112200
523022132210424
61245154414120
7142150642524
oct27647102640
98225417623
103197928864
1113a1169319
12752b91340
133bc6c4c00
14224a09d84
1513ab3e729
hexbe9c85a0

3197928864 has 144 divisors (see below), whose sum is σ = 9130968000. Its totient is φ = 979550208.

The previous prime is 3197928847. The next prime is 3197928941. The reversal of 3197928864 is 4688297913.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7122112 + ... + 7122560.

It is an arithmetic number, because the mean of its divisors is an integer number (63409500).

Almost surely, 23197928864 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 3197928864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565484000).

3197928864 is an abundant number, since it is smaller than the sum of its proper divisors (5933039136).

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

3197928864 is a wasteful number, since it uses less digits than its factorization.

3197928864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927 (or 906 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The square root of 3197928864 is about 56550.2331029678. The cubic root of 3197928864 is about 1473.2946087477.

The spelling of 3197928864 in words is "three billion, one hundred ninety-seven million, nine hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 439 449 507 624 676 878 898 1014 1248 1317 1347 1352 1756 1796 2028 2634 2694 2704 3512 3592 4056 5268 5388 5408 5707 5837 7024 7184 8112 10536 10776 11414 11674 14048 14368 16224 17121 17511 21072 21552 22828 23348 34242 35022 42144 43104 45656 46696 68484 70044 74191 75881 91312 93392 136968 140088 148382 151762 182624 186784 197111 222573 227643 273936 280176 296764 303524 394222 445146 455286 547872 560352 591333 593528 607048 788444 890292 910572 1182666 1187056 1214096 1576888 1780584 1821144 2365332 2374112 2428192 2562443 3153776 3561168 3642288 4730664 5124886 6307552 7122336 7284576 7687329 9461328 10249772 15374658 18922656 20499544 30749316 33311759 40999088 61498632 66623518 81998176 99935277 122997264 133247036 199870554 245994528 266494072 399741108 532988144 799482216 1065976288 1598964432 3197928864