Search a number
-
+
7697480748 = 22323271102913
BaseRepresentation
bin1110010101100111…
…00011110000101100
3201212110011112111120
413022303203300230
5111231023340443
63311451420540
7361515335556
oct71263436054
921773145446
107697480748
1132a0033241
1215a9a54750
13958972749
1453043a4d6
15300b90083
hex1cace3c2c

7697480748 has 48 divisors (see below), whose sum is σ = 18811032576. Its totient is φ = 2445189120.

The previous prime is 7697480741. The next prime is 7697480801. The reversal of 7697480748 is 8470847967.

It is a junction number, because it is equal to n+sod(n) for n = 7697480691 and 7697480700.

It is not an unprimeable number, because it can be changed into a prime (7697480741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23340 + ... + 126252.

It is an arithmetic number, because the mean of its divisors is an integer number (391896512).

Almost surely, 27697480748 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 7697480748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9405516288).

7697480748 is an abundant number, since it is smaller than the sum of its proper divisors (11113551828).

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

7697480748 is a wasteful number, since it uses less digits than its factorization.

7697480748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103214 (or 103212 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 60.

The square root of 7697480748 is about 87735.2879290881. The cubic root of 7697480748 is about 1974.4654429377.

The spelling of 7697480748 in words is "seven billion, six hundred ninety-seven million, four hundred eighty thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 271 276 542 813 1084 1626 3252 6233 12466 18699 24932 37398 74796 102913 205826 308739 411652 617478 1234956 2366999 4733998 7100997 9467996 14201994 27889423 28403988 55778846 83668269 111557692 167336538 334673076 641456729 1282913458 1924370187 2565826916 3848740374 7697480748