Search a number
-
+
807971922 = 2341923101113
BaseRepresentation
bin110000001010001…
…010110001010010
32002022100020010000
4300022022301102
53123320100142
6212101350430
726010435162
oct6012126122
92068306100
10807971922
1138509629a
121a6708416
13cb5145c4
14794425a2
154adee14c
hex3028ac52

807971922 has 160 divisors (see below), whose sum is σ = 2026062720. Its totient is φ = 239500800.

The previous prime is 807971917. The next prime is 807971933. The reversal of 807971922 is 229179708.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7150138 + ... + 7150250.

It is an arithmetic number, because the mean of its divisors is an integer number (12662892).

Almost surely, 2807971922 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 807971922, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013031360).

807971922 is an abundant number, since it is smaller than the sum of its proper divisors (1218090798).

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

807971922 is a wasteful number, since it uses less digits than its factorization.

807971922 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 807971922 is about 28424.8469125165. The cubic root of 807971922 is about 931.3911126971.

The spelling of 807971922 in words is "eight hundred seven million, nine hundred seventy-one thousand, nine hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 81 101 113 114 138 162 171 202 207 226 303 339 342 414 437 513 606 621 678 874 909 1017 1026 1242 1311 1539 1818 1863 1919 2034 2147 2323 2599 2622 2727 3051 3078 3726 3838 3933 4294 4646 5198 5454 5757 6102 6441 6969 7797 7866 8181 9153 11413 11514 11799 12882 13938 15594 16362 17271 18306 19323 20907 22826 23391 23598 34239 34542 35397 38646 41814 44137 46782 49381 51813 57969 62721 68478 70173 70794 88274 98762 102717 103626 115938 125442 132411 140346 148143 155439 173907 188163 205434 210519 216847 262499 264822 296286 308151 310878 347814 376326 397233 421038 433694 444429 524998 616302 650541 787497 794466 888858 924453 1191699 1301082 1333287 1574994 1848906 1951623 2362491 2383398 2666574 3575097 3903246 3999861 4724982 4987481 5854869 7087473 7150194 7999722 9974962 11709738 14174946 14962443 17564607 21262419 29924886 35129214 42524838 44887329 89774658 134661987 269323974 403985961 807971922