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858481664 = 2102928909
BaseRepresentation
bin110011001010110…
…110010000000000
32012211101101110012
4303022312100000
53224232403124
6221104124052
730162654665
oct6312662000
92184341405
10858481664
11400654a87
121bb606628
13108b1aa21
148202da6c
1550579e0e
hex332b6400

858481664 has 44 divisors (see below), whose sum is σ = 1775363100. Its totient is φ = 414425088.

The previous prime is 858481633. The next prime is 858481681. The reversal of 858481664 is 466184858.

It can be written as a sum of positive squares in 2 ways, for example, as 729432064 + 129049600 = 27008^2 + 11360^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 15242 + ... + 44150.

Almost surely, 2858481664 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 858481664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887681550).

858481664 is an abundant number, since it is smaller than the sum of its proper divisors (916881436).

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

858481664 is a wasteful number, since it uses less digits than its factorization.

858481664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28958 (or 28940 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 50.

The square root of 858481664 is about 29299.8577470950. The cubic root of 858481664 is about 950.4085644306.

The spelling of 858481664 in words is "eight hundred fifty-eight million, four hundred eighty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 3712 7424 14848 28909 29696 57818 115636 231272 462544 838361 925088 1676722 1850176 3353444 3700352 6706888 7400704 13413776 14801408 26827552 29602816 53655104 107310208 214620416 429240832 858481664