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649065042 = 233193120407
BaseRepresentation
bin100110101011111…
…111001001010010
31200020022220212000
4212223333021102
52312130040132
6144223414430
722040650623
oct4653771122
91606286760
10649065042
1130342019a
12161454416
13a4617572
14622b9a4a
153beb087c
hex26aff252

649065042 has 64 divisors (see below), whose sum is σ = 1567334400. Its totient is φ = 198346320.

The previous prime is 649065041. The next prime is 649065047. The reversal of 649065042 is 240560946.

649065042 is a `hidden beast` number, since 64 + 90 + 6 + 504 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 649064988 and 649065006.

It is not an unprimeable number, because it can be changed into a prime (649065041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21603 + ... + 42009.

It is an arithmetic number, because the mean of its divisors is an integer number (24489600).

Almost surely, 2649065042 is an apocalyptic number.

649065042 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 649065042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783667200).

649065042 is an abundant number, since it is smaller than the sum of its proper divisors (918269358).

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

649065042 is a wasteful number, since it uses less digits than its factorization.

649065042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20468 (or 20462 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 649065042 is about 25476.7549346458. The cubic root of 649065042 is about 865.8235741563.

The spelling of 649065042 in words is "six hundred forty-nine million, sixty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 3534 5301 10602 15903 20407 31806 40814 61221 122442 183663 367326 387733 550989 632617 775466 1101978 1163199 1265234 1897851 2326398 3489597 3795702 5693553 6979194 10468791 11387106 12019723 17080659 20937582 24039446 34161318 36059169 72118338 108177507 216355014 324532521 649065042