Search a number
-
+
7966420924 = 227111071631483
BaseRepresentation
bin1110110101101010…
…11110111110111100
3202120012020010001211
413122311132332330
5112303400432144
63354300014204
7401262313660
oct73265367674
922505203054
107966420924
113418922a50
121663b31364
1399c5b7047
145580468a0
153195b6034
hex1dad5efbc

7966420924 has 96 divisors (see below), whose sum is σ = 17663256576. Its totient is φ = 3053868480.

The previous prime is 7966420867. The next prime is 7966420927. The reversal of 7966420924 is 4290246697.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7966420927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5371087 + ... + 5372569.

It is an arithmetic number, because the mean of its divisors is an integer number (183992256).

Almost surely, 27966420924 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 7966420924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8831628288).

7966420924 is an abundant number, since it is smaller than the sum of its proper divisors (9696835652).

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

7966420924 is a wasteful number, since it uses less digits than its factorization.

7966420924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The square root of 7966420924 is about 89254.8089684808. The cubic root of 7966420924 is about 1997.1978193922.

The spelling of 7966420924 in words is "seven billion, nine hundred sixty-six million, four hundred twenty thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 107 154 163 214 308 326 428 652 749 1141 1177 1483 1498 1793 2282 2354 2966 2996 3586 4564 4708 5932 7172 8239 10381 12551 16313 16478 17441 20762 25102 32626 32956 34882 41524 50204 65252 69764 114191 122087 158681 191851 228382 241729 244174 317362 383702 456764 483458 488348 634724 767404 966916 1110767 1342957 1692103 1745491 2221534 2659019 2685914 3384206 3490982 4443068 5318038 5371828 6768412 6981964 10636076 12218437 18613133 24436874 25865003 37226266 48873748 51730006 74452532 103460012 181055021 284515033 362110042 569030066 724220084 1138060132 1991605231 3983210462 7966420924