Search a number
-
+
7235884096 = 2676312
BaseRepresentation
bin1101011110100101…
…01101010001000000
3200200021120222221021
412233102231101000
5104304341242341
63154002035224
7344212000000
oct65722552100
920607528837
107235884096
113083516901
12149b348b14
138b414552c
144c9000000
152c53b09d1
hex1af4ad440

7235884096 has 147 divisors (see below), whose sum is σ = 17309617527. Its totient is φ = 3001057920.

The previous prime is 7235884091. The next prime is 7235884109. The reversal of 7235884096 is 6904885327.

The square root of 7235884096 is 85064.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7235884091) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 233415601 + ... + 233415631.

Almost surely, 27235884096 is an apocalyptic number.

7235884096 is the 85064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7235884096

7235884096 is an abundant number, since it is smaller than the sum of its proper divisors (10073733431).

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

7235884096 is an frugal number, since it uses more digits than its factorization.

7235884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The cubic root of 7235884096 is about 1934.1813910309.

The spelling of 7235884096 in words is "seven billion, two hundred thirty-five million, eight hundred eighty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 196 217 224 248 343 392 434 448 496 686 784 868 961 992 1372 1519 1568 1736 1922 1984 2401 2744 3038 3136 3472 3844 4802 5488 6076 6727 6944 7688 9604 10633 10976 12152 13454 13888 15376 16807 19208 21266 21952 24304 26908 30752 33614 38416 42532 47089 48608 53816 61504 67228 74431 76832 85064 94178 97216 107632 117649 134456 148862 153664 170128 188356 215264 235298 268912 297724 329623 340256 376712 430528 470596 521017 537824 595448 659246 680512 753424 941192 1042034 1075648 1190896 1318492 1506848 1882384 2084068 2307361 2381792 2636984 3013696 3647119 3764768 4168136 4614722 4763584 5273968 7294238 7529536 8336272 9229444 10547936 14588476 16151527 16672544 18458888 21095872 29176952 32303054 33345088 36917776 58353904 64606108 73835552 113060689 116707808 129212216 147671104 226121378 233415616 258424432 452242756 516848864 904485512 1033697728 1808971024 3617942048 7235884096