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3923076768 = 253132241807
BaseRepresentation
bin1110100111010101…
…0110011010100000
3101010101221221121120
43221311112122200
531013301424033
61445141052240
7166134413412
oct35165263240
911111857546
103923076768
111733524706
129159b7080
134a69ca900
1429304c9b2
1517e62d1b3
hexe9d566a0

3923076768 has 72 divisors (see below), whose sum is σ = 11151217728. Its totient is φ = 1207095552.

The previous prime is 3923076767. The next prime is 3923076799. The reversal of 3923076768 is 8676703293.

3923076768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3923076768.

It is not an unprimeable number, because it can be changed into a prime (3923076763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104680 + ... + 137127.

It is an arithmetic number, because the mean of its divisors is an integer number (154878024).

Almost surely, 23923076768 is an apocalyptic number.

It is an amenable number.

3923076768 is an abundant number, since it is smaller than the sum of its proper divisors (7228140960).

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

3923076768 is a wasteful number, since it uses less digits than its factorization.

3923076768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241846 (or 241825 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 51.

The square root of 3923076768 is about 62634.4694876551. The cubic root of 3923076768 is about 1577.1594489583.

The spelling of 3923076768 in words is "three billion, nine hundred twenty-three million, seventy-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 8112 16224 241807 483614 725421 967228 1450842 1934456 2901684 3143491 3868912 5803368 6286982 7737824 9430473 11606736 12573964 18860946 23213472 25147928 37721892 40865383 50295856 75443784 81730766 100591712 122596149 150887568 163461532 245192298 301775136 326923064 490384596 653846128 980769192 1307692256 1961538384 3923076768