Search a number
-
+
3995723776 = 21111193919
BaseRepresentation
bin1110111000101001…
…1110100000000000
3101022110122210120111
43232022132200000
531140401130101
61500254121104
7201006043312
oct35612364000
911273583514
103995723776
111770533460
129361b0194
134b8a851c5
1429c95d7b2
15185bcd251
hexee29e800

3995723776 has 96 divisors (see below), whose sum is σ = 8770507200. Its totient is φ = 1804861440.

The previous prime is 3995723773. The next prime is 3995723777. The reversal of 3995723776 is 6773275993.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3995723776.

It is not an unprimeable number, because it can be changed into a prime (3995723773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4347445 + ... + 4348363.

It is an arithmetic number, because the mean of its divisors is an integer number (91359450).

Almost surely, 23995723776 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 3995723776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385253600).

3995723776 is an abundant number, since it is smaller than the sum of its proper divisors (4774783424).

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

3995723776 is a wasteful number, since it uses less digits than its factorization.

3995723776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1125 counting only the distinct ones).

The product of its digits is 15002820, while the sum is 58.

The square root of 3995723776 is about 63211.7376442066. The cubic root of 3995723776 is about 1586.8351767298.

The spelling of 3995723776 in words is "three billion, nine hundred ninety-five million, seven hundred twenty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 256 352 386 512 704 772 919 1024 1408 1544 1838 2048 2123 2816 3088 3676 4246 5632 6176 7352 8492 10109 11264 12352 14704 16984 20218 22528 24704 29408 33968 40436 49408 58816 67936 80872 98816 117632 135872 161744 177367 197632 235264 271744 323488 354734 395264 470528 543488 646976 709468 941056 1086976 1293952 1418936 1882112 1951037 2173952 2587904 2837872 3902074 4347904 5175808 5675744 7804148 10351616 11351488 15608296 20703232 22702976 31216592 45405952 62433184 90811904 124866368 181623808 249732736 363247616 499465472 998930944 1997861888 3995723776