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830251712 = 2617977867
BaseRepresentation
bin110001011111001…
…010001011000000
32010212021011020102
4301133022023000
53200021023322
6214215101532
726401010633
oct6137121300
92125234212
10830251712
11396723444
121b20718a8
13103015604
147c3a1c1a
154cd50792
hex317ca2c0

830251712 has 56 divisors (see below), whose sum is σ = 1762652304. Its totient is φ = 386629632.

The previous prime is 830251711. The next prime is 830251771. The reversal of 830251712 is 217152038.

It is not an unprimeable number, because it can be changed into a prime (830251711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101603 + ... + 109469.

It is an arithmetic number, because the mean of its divisors is an integer number (31475934).

Almost surely, 2830251712 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 830251712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881326152).

830251712 is an abundant number, since it is smaller than the sum of its proper divisors (932400592).

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

830251712 is a wasteful number, since it uses less digits than its factorization.

830251712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7993 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 830251712 is about 28814.0887761525. The cubic root of 830251712 is about 939.8746294243.

The spelling of 830251712 in words is "eight hundred thirty million, two hundred fifty-one thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 97 136 194 272 388 544 776 1088 1552 1649 3104 3298 6208 6596 7867 13192 15734 26384 31468 52768 62936 105536 125872 133739 251744 267478 503488 534956 763099 1069912 1526198 2139824 3052396 4279648 6104792 8559296 12209584 12972683 24419168 25945366 48838336 51890732 103781464 207562928 415125856 830251712