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899949666 = 237114389509
BaseRepresentation
bin110101101001000…
…010010001100010
32022201102011212010
4311221002101202
53320341342131
6225145013350
731205305650
oct6551022142
92281364763
10899949666
11421aa8560
12211484256
131145a97c5
1487745dd0
155401bb46
hex35a42462

899949666 has 128 divisors (see below), whose sum is σ = 2326579200. Its totient is φ = 225308160.

The previous prime is 899949647. The next prime is 899949667. The reversal of 899949666 is 666949998.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 899949597 and 899949606.

It is not an unprimeable number, because it can be changed into a prime (899949667) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1767820 + ... + 1768328.

It is an arithmetic number, because the mean of its divisors is an integer number (18176400).

Almost surely, 2899949666 is an apocalyptic number.

899949666 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 899949666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163289600).

899949666 is an abundant number, since it is smaller than the sum of its proper divisors (1426629534).

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

899949666 is a wasteful number, since it uses less digits than its factorization.

899949666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664.

The product of its digits is 45349632, while the sum is 66.

The square root of 899949666 is about 29999.1610882705. The cubic root of 899949666 is about 965.4713854024.

The spelling of 899949666 in words is "eight hundred ninety-nine million, nine hundred forty-nine thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 43 66 77 86 89 129 154 178 231 258 267 301 462 473 509 534 602 623 903 946 979 1018 1246 1419 1527 1806 1869 1958 2838 2937 3054 3311 3563 3738 3827 5599 5874 6622 6853 7126 7654 9933 10689 11198 11481 13706 16797 19866 20559 21378 21887 22962 26789 33594 39193 41118 42097 43774 45301 53578 65661 78386 80367 84194 90602 117579 126291 131322 135903 153209 160734 235158 240757 252582 271806 294679 306418 317107 459627 481514 498311 589358 634214 722271 884037 919254 951321 996622 1444542 1494933 1685299 1768074 1902642 1947943 2989866 3370598 3488177 3895886 5055897 5843829 6976354 10111794 10464531 11687658 13635601 20929062 21427373 27271202 40906803 42854746 64282119 81813606 128564238 149991611 299983222 449974833 899949666