Search a number
-
+
7904489076 = 22321128920389
BaseRepresentation
bin1110101110010010…
…01110111001110100
3202101212200122112200
413113021032321310
5112142022122301
63344204344500
7366611022441
oct72711167164
922355618480
107904489076
113396972700
121647245130
1398c811993
1454db249c8
15313e30c86
hex1d724ee74

7904489076 has 108 divisors (see below), whose sum is σ = 22210215300. Its totient is φ = 2368270080.

The previous prime is 7904489071. The next prime is 7904489077. The reversal of 7904489076 is 6709844097.

It is a happy number.

7904489076 is a `hidden beast` number, since 7 + 90 + 4 + 489 + 0 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4903640676 + 3000848400 = 70026^2 + 54780^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7904489071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 377490 + ... + 397878.

Almost surely, 27904489076 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 7904489076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105107650).

7904489076 is an abundant number, since it is smaller than the sum of its proper divisors (14305726224).

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

7904489076 is a wasteful number, since it uses less digits than its factorization.

7904489076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20510 (or 20494 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7904489076 is about 88907.1936122157. The cubic root of 7904489076 is about 1992.0088697771.

The spelling of 7904489076 in words is "seven billion, nine hundred four million, four hundred eighty-nine thousand, seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 89 99 121 132 178 198 242 267 356 363 396 484 534 726 801 979 1068 1089 1452 1602 1958 2178 2937 3204 3916 4356 5874 8811 10769 11748 17622 20389 21538 32307 35244 40778 43076 61167 64614 81556 96921 122334 129228 183501 193842 224279 244668 367002 387684 448558 672837 734004 897116 1345674 1814621 2018511 2467069 2691348 3629242 4037022 4934138 5443863 7258484 7401207 8074044 9868276 10887726 14802414 16331589 19960831 21775452 22203621 29604828 32663178 39921662 44407242 59882493 65326356 79843324 88814484 119764986 179647479 219569141 239529972 359294958 439138282 658707423 718589916 878276564 1317414846 1976122269 2634829692 3952244538 7904489076