Search a number
-
+
2089328256 = 2734201517
BaseRepresentation
bin111110010001000…
…1001111010000000
312101121102212120000
41330202021322000
513234332001011
6543153320000
7102526666011
oct17442117200
95347385500
102089328256
1198240a274
124a3866000
13273b22612
1415b6ad008
15c365a356
hex7c889e80

2089328256 has 80 divisors (see below), whose sum is σ = 6217837890. Its totient is φ = 696439296.

The previous prime is 2089328251. The next prime is 2089328279. The reversal of 2089328256 is 6528239802.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1280494656 + 808833600 = 35784^2 + 28440^2 .

It is a super-2 number, since 2×20893282562 = 8730585122640003072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2089328251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 90391 + ... + 111126.

Almost surely, 22089328256 is an apocalyptic number.

It is an amenable number.

2089328256 is an abundant number, since it is smaller than the sum of its proper divisors (4128509634).

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

2089328256 is an equidigital number, since it uses as much as digits as its factorization.

2089328256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201543 (or 201522 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2089328256 is about 45709.1703709442. The cubic root of 2089328256 is about 1278.4062716804.

The spelling of 2089328256 in words is "two billion, eighty-nine million, three hundred twenty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 5184 10368 201517 403034 604551 806068 1209102 1612136 1813653 2418204 3224272 3627306 4836408 5440959 6448544 7254612 9672816 10881918 12897088 14509224 16322877 19345632 21763836 25794176 29018448 32645754 38691264 43527672 58036896 65291508 77382528 87055344 116073792 130583016 174110688 232147584 261166032 348221376 522332064 696442752 1044664128 2089328256