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646820096 = 2813263739
BaseRepresentation
bin100110100011011…
…011000100000000
31200002002212100212
4212203123010000
52311041220341
6144103333252
722012610606
oct4643330400
91602085325
10646820096
1130212756a
12160751228
13a400c7b0
1461c93876
153bbba5eb
hex268db100

646820096 has 72 divisors (see below), whose sum is σ = 1397605440. Its totient is φ = 296994816.

The previous prime is 646820093. The next prime is 646820107. The reversal of 646820096 is 690028646.

It is not an unprimeable number, because it can be changed into a prime (646820093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 874895 + ... + 875633.

Almost surely, 2646820096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646820096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698802720).

646820096 is an abundant number, since it is smaller than the sum of its proper divisors (750785344).

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

646820096 is a wasteful number, since it uses less digits than its factorization.

646820096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 646820096 is about 25432.6580600613. The cubic root of 646820096 is about 864.8242020815.

The spelling of 646820096 in words is "six hundred forty-six million, eight hundred twenty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 263 416 526 739 832 1052 1478 1664 2104 2956 3328 3419 4208 5912 6838 8416 9607 11824 13676 16832 19214 23648 27352 33664 38428 47296 54704 67328 76856 94592 109408 153712 189184 194357 218816 307424 388714 437632 614848 777428 875264 1229696 1554856 2459392 2526641 3109712 5053282 6219424 10106564 12438848 20213128 24877696 40426256 49755392 80852512 161705024 323410048 646820096