Search a number
-
+
490099681 = 17294361379
BaseRepresentation
bin11101001101100…
…101001111100001
31021011012122101001
4131031211033201
52000431142211
6120344312001
715100531021
oct3515451741
91234178331
10490099681
11231715165
12118172601
137a6c9a16
1449139a81
152d05eac1
hex1d3653e1

490099681 has 32 divisors (see below), whose sum is σ = 559785600. Its totient is φ = 426746880.

The previous prime is 490099657. The next prime is 490099693. The reversal of 490099681 is 186990094.

It is a 3-Lehmer number, since φ(490099681) divides (490099681-1)3.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 490099681 - 225 = 456545249 is a prime.

It is a super-2 number, since 2×4900996812 = 480395394632603522, which contains 22 as substring.

It is a deceptive number, since it divides R490099680.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (490099601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292950 + ... + 1293328.

It is an arithmetic number, because the mean of its divisors is an integer number (17493300).

It is a Poulet number, since it divides 2490099680-1.

Almost surely, 2490099681 is an apocalyptic number.

It is an amenable number.

490099681 is a deficient number, since it is larger than the sum of its proper divisors (69685919).

490099681 is a wasteful number, since it uses less digits than its factorization.

490099681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529.

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 490099681 is about 22138.1950709628. The cubic root of 490099681 is about 788.4269724548.

The spelling of 490099681 in words is "four hundred ninety million, ninety-nine thousand, six hundred eighty-one".

Divisors: 1 17 29 43 61 379 493 731 1037 1247 1769 2623 6443 10991 16297 21199 23119 30073 44591 76067 186847 277049 393023 472613 670451 994117 1293139 8034421 11397667 16899989 28829393 490099681