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856331136 = 2733247781
BaseRepresentation
bin110011000010101…
…001001110000000
32012200100010111000
4303002221032000
53223210044021
6220550052000
730135460143
oct6302511600
92180303430
10856331136
113aa416291
121ba94a000
13108546c1b
1481a3005a
15502a2b26
hex330a9380

856331136 has 64 divisors (see below), whose sum is σ = 2527376400. Its totient is φ = 285442560.

The previous prime is 856331107. The next prime is 856331137. The reversal of 856331136 is 631133658.

It is a happy number.

856331136 is a `hidden beast` number, since 8 + 5 + 633 + 1 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 856331136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856331137) 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, 120435 + ... + 127346.

Almost surely, 2856331136 is an apocalyptic number.

It is an amenable number.

856331136 is an abundant number, since it is smaller than the sum of its proper divisors (1671045264).

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

856331136 is a wasteful number, since it uses less digits than its factorization.

856331136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247804 (or 247786 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 856331136 is about 29263.1361272164. The cubic root of 856331136 is about 949.6142980884.

The spelling of 856331136 in words is "eight hundred fifty-six million, three hundred thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 247781 495562 743343 991124 1486686 1982248 2230029 2973372 3964496 4460058 5946744 6690087 7928992 8920116 11893488 13380174 15857984 17840232 23786976 26760348 31715968 35680464 47573952 53520696 71360928 95147904 107041392 142721856 214082784 285443712 428165568 856331136