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830821616 = 241071493257
BaseRepresentation
bin110001100001010…
…101010011110000
32010220100002222222
4301201111103300
53200142242431
6214235220212
726405603312
oct6141252360
92126302888
10830821616
11396a82639
121b22a7668
13103184b31
147c4ad7b2
154ce1457b
hex318554f0

830821616 has 40 divisors (see below), whose sum is σ = 1636167600. Its totient is φ = 408641024.

The previous prime is 830821613. The next prime is 830821627. The reversal of 830821616 is 616128038.

It is a super-2 number, since 2×8308216162 = 1380529115225702912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830821613) 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, 253460 + ... + 256716.

It is an arithmetic number, because the mean of its divisors is an integer number (40904190).

Almost surely, 2830821616 is an apocalyptic number.

It is an amenable number.

830821616 is a deficient number, since it is larger than the sum of its proper divisors (805345984).

830821616 is a wasteful number, since it uses less digits than its factorization.

830821616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 830821616 is about 28823.9764085388. The cubic root of 830821616 is about 940.0896308074.

The spelling of 830821616 in words is "eight hundred thirty million, eight hundred twenty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 107 149 214 298 428 596 856 1192 1712 2384 3257 6514 13028 15943 26056 31886 52112 63772 127544 255088 348499 485293 696998 970586 1393996 1941172 2787992 3882344 5575984 7764688 51926351 103852702 207705404 415410808 830821616