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830482641 = 321493311871
BaseRepresentation
bin110001100000000…
…010100011010001
32010212200220000100
4301200002203101
53200100421031
6214224043013
726402662122
oct6140024321
92125626010
10830482641
1139687099a
121b2163469
13103096761
147c422049
154cd98de6
hex318028d1

830482641 has 24 divisors (see below), whose sum is σ = 1211932800. Its totient is φ = 547984800.

The previous prime is 830482619. The next prime is 830482687. The reversal of 830482641 is 146284038.

830482641 is a `hidden beast` number, since 8 + 3 + 0 + 4 + 8 + 2 + 641 = 666.

It is not a de Polignac number, because 830482641 - 29 = 830482129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 830482596 and 830482605.

It is not an unprimeable number, because it can be changed into a prime (830482441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442936 + ... + 444806.

It is an arithmetic number, because the mean of its divisors is an integer number (50497200).

Almost surely, 2830482641 is an apocalyptic number.

It is an amenable number.

830482641 is a deficient number, since it is larger than the sum of its proper divisors (381450159).

830482641 is a wasteful number, since it uses less digits than its factorization.

830482641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2357 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 830482641 is about 28818.0957212651. The cubic root of 830482641 is about 939.9617613085.

The spelling of 830482641 in words is "eight hundred thirty million, four hundred eighty-two thousand, six hundred forty-one".

Divisors: 1 3 9 149 331 447 993 1341 1871 2979 5613 16839 49319 147957 278779 443871 619301 836337 1857903 2509011 5573709 92275849 276827547 830482641