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856381696 = 28312592
BaseRepresentation
bin110011000010110…
…101100100000000
32012200102200211121
4303002311210000
53223213203241
6220551122024
730136060432
oct6302654400
92180380747
10856381696
113aa450275
121ba973314
13108563c41
1481a44652
15502b2ad1
hex330b5900

856381696 has 81 divisors (see below), whose sum is σ = 1796784843. Its totient is φ = 407354880.

The previous prime is 856381663. The next prime is 856381697. The reversal of 856381696 is 696183658.

The square root of 856381696 is 29264.

It is a perfect power (a square), and thus also a powerful number.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (856381697) 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 8 ways as a sum of consecutive naturals, for example, 14514915 + ... + 14514973.

Almost surely, 2856381696 is an apocalyptic number.

856381696 is the 29264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 856381696

856381696 is an abundant number, since it is smaller than the sum of its proper divisors (940403147).

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

856381696 is an frugal number, since it uses more digits than its factorization.

856381696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 92 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 52.

The cubic root of 856381696 is about 949.6329869468.

The spelling of 856381696 in words is "eight hundred fifty-six million, three hundred eighty-one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 59 62 64 118 124 128 236 248 256 472 496 944 961 992 1829 1888 1922 1984 3481 3658 3776 3844 3968 6962 7316 7552 7688 7936 13924 14632 15104 15376 27848 29264 30752 55696 56699 58528 61504 107911 111392 113398 117056 123008 215822 222784 226796 234112 246016 431644 445568 453592 468224 863288 891136 907184 1726576 1814368 3345241 3453152 3628736 6690482 6906304 7257472 13380964 13812608 14514944 26761928 27625216 53523856 107047712 214095424 428190848 856381696