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830719616 = 272927717
BaseRepresentation
bin110001100000111…
…100011010000000
32010220010221002012
4301200330122000
53200131011431
6214233112052
726405000036
oct6140743200
92126127065
10830719616
11396a12a41
121b2258628
1310314a58c
147c484556
154cde422b
hex3183c680

830719616 has 48 divisors (see below), whose sum is σ = 1714206390. Its totient is φ = 400985088.

The previous prime is 830719609. The next prime is 830719619. The reversal of 830719616 is 616917038.

It can be written as a sum of positive squares in 3 ways, for example, as 720385600 + 110334016 = 26840^2 + 10504^2 .

It is not an unprimeable number, because it can be changed into a prime (830719619) 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 5 ways as a sum of consecutive naturals, for example, 103790 + ... + 111506.

Almost surely, 2830719616 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 830719616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857103195).

830719616 is an abundant number, since it is smaller than the sum of its proper divisors (883486774).

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

830719616 is an equidigital number, since it uses as much as digits as its factorization.

830719616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7789 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The square root of 830719616 is about 28822.2069939136. The cubic root of 830719616 is about 940.0511576202.

The spelling of 830719616 in words is "eight hundred thirty million, seven hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 841 928 1682 1856 3364 3712 6728 7717 13456 15434 26912 30868 53824 61736 107648 123472 223793 246944 447586 493888 895172 987776 1790344 3580688 6489997 7161376 12979994 14322752 25959988 28645504 51919976 103839952 207679904 415359808 830719616