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1649921856 = 263117111003
BaseRepresentation
bin110001001010111…
…1100111101000000
311020222121201021220
41202111330331000
511334334444411
6431415315040
755613050542
oct14225747500
94228551256
101649921856
11777379790
123a067ba80
13203a9472b
141191ab692
1599cb0b06
hex6257cf40

1649921856 has 112 divisors (see below), whose sum is σ = 4829787648. Its totient is φ = 492889600.

The previous prime is 1649921851. The next prime is 1649921857. The reversal of 1649921856 is 6581299461.

It is a junction number, because it is equal to n+sod(n) for n = 1649921799 and 1649921808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1649921851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144451 + ... + 155453.

It is an arithmetic number, because the mean of its divisors is an integer number (43123104).

Almost surely, 21649921856 is an apocalyptic number.

1649921856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1649921856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2414893824).

1649921856 is an abundant number, since it is smaller than the sum of its proper divisors (3179865792).

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

1649921856 is a wasteful number, since it uses less digits than its factorization.

1649921856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11100 (or 11090 counting only the distinct ones).

The product of its digits is 933120, while the sum is 51.

The square root of 1649921856 is about 40619.2301256437. The cubic root of 1649921856 is about 1181.6470956097.

The spelling of 1649921856 in words is "one billion, six hundred forty-nine million, nine hundred twenty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 352 426 528 568 704 781 852 1056 1136 1562 1704 2112 2272 2343 3124 3408 4544 4686 6248 6816 9372 11003 12496 13632 18744 22006 24992 33009 37488 44012 49984 66018 74976 88024 121033 132036 149952 176048 242066 264072 352096 363099 484132 528144 704192 726198 781213 968264 1056288 1452396 1562426 1936528 2112576 2343639 2904792 3124852 3873056 4687278 5809584 6249704 7746112 8593343 9374556 11619168 12499408 17186686 18749112 23238336 24998816 25780029 34373372 37498224 49997632 51560058 68746744 74996448 103120116 137493488 149992896 206240232 274986976 412480464 549973952 824960928 1649921856