Search a number
-
+
3983312952 = 2332199317877
BaseRepresentation
bin1110110101101100…
…1000100000111000
3101021121022021010100
43231123020200320
531124212003302
61455132115400
7200465413203
oct35533104070
911247267110
103983312952
111764526a83
12932005b60
134b632b218
1429b04c93a
15184a7ad1c
hexed6c8838

3983312952 has 96 divisors (see below), whose sum is σ = 10888956000. Its totient is φ = 1315429632.

The previous prime is 3983312899. The next prime is 3983312981. The reversal of 3983312952 is 2592133893.

It is a junction number, because it is equal to n+sod(n) for n = 3983312898 and 3983312907.

It is a congruent number.

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, 4541538 + ... + 4542414.

It is an arithmetic number, because the mean of its divisors is an integer number (113426625).

Almost surely, 23983312952 is an apocalyptic number.

It is an amenable number.

3983312952 is an abundant number, since it is smaller than the sum of its proper divisors (6905643048).

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

3983312952 is a wasteful number, since it uses less digits than its factorization.

3983312952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 3983312952 is about 63113.4926303401. The cubic root of 3983312952 is about 1585.1905554283.

The spelling of 3983312952 in words is "three billion, nine hundred eighty-three million, three hundred twelve thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 317 398 597 634 796 877 951 1194 1268 1592 1754 1791 1902 2388 2536 2631 2853 3508 3582 3804 4776 5262 5706 7016 7164 7608 7893 10524 11412 14328 15786 21048 22824 31572 63083 63144 126166 174523 189249 252332 278009 349046 378498 504664 523569 556018 567747 698092 756996 834027 1047138 1112036 1135494 1396184 1513992 1570707 1668054 2094276 2224072 2270988 2502081 3141414 3336108 4188552 4541976 5004162 6282828 6672216 10008324 12565656 20016648 55323791 110647582 165971373 221295164 331942746 442590328 497914119 663885492 995828238 1327770984 1991656476 3983312952