Search a number
-
+
2428558242 = 2311107343891
BaseRepresentation
bin1001000011000000…
…1101101110100010
320021020202112121120
42100300031232202
514433202330432
61040552233110
7114116255505
oct22060155642
96236675546
102428558242
111036948830
1257939b796
132c91a7616
1419077513c
15e3317c2c
hex90c0dba2

2428558242 has 32 divisors (see below), whose sum is σ = 5348208384. Its totient is φ = 729046800.

The previous prime is 2428558199. The next prime is 2428558271.

It is a happy number.

2428558242 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×24285582422 = 11795790269572261128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2428558194 and 2428558203.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 164884 + ... + 179007.

It is an arithmetic number, because the mean of its divisors is an integer number (167131512).

Almost surely, 22428558242 is an apocalyptic number.

2428558242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2428558242 is an abundant number, since it is smaller than the sum of its proper divisors (2919650142).

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

2428558242 is a wasteful number, since it uses less digits than its factorization.

2428558242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344014.

The product of its digits is 409600, while the sum is 42.

The square root of 2428558242 is about 49280.4042394135. The cubic root of 2428558242 is about 1344.1554824284.

The spelling of 2428558242 in words is "two billion, four hundred twenty-eight million, five hundred fifty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 107 214 321 642 1177 2354 3531 7062 343891 687782 1031673 2063346 3782801 7565602 11348403 22696806 36796337 73592674 110389011 220778022 404759707 809519414 1214279121 2428558242