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830941504 = 26176711399
BaseRepresentation
bin110001100001110…
…010100101000000
32010220120012110021
4301201302211000
53200210112004
6214241543224
726406612661
oct6141624500
92126505407
10830941504
11397054718
121b2344b14
131031c7583
147c501368
154ce39d54
hex31872940

830941504 has 56 divisors (see below), whose sum is σ = 1772107200. Its totient is φ = 385161216.

The previous prime is 830941499. The next prime is 830941511. The reversal of 830941504 is 405149038.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 830941504.

It is a congruent number.

It is an unprimeable number.

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, 67197 + ... + 78595.

Almost surely, 2830941504 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 830941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886053600).

830941504 is an abundant number, since it is smaller than the sum of its proper divisors (941165696).

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

830941504 is a wasteful number, since it uses less digits than its factorization.

830941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11495 (or 11485 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 830941504 is about 28826.0559910648. The cubic root of 830941504 is about 940.1348471101.

The spelling of 830941504 in words is "eight hundred thirty million, nine hundred forty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 67 68 134 136 268 272 536 544 1072 1088 1139 2144 2278 4288 4556 9112 11399 18224 22798 36448 45596 72896 91192 182384 193783 364768 387566 729536 763733 775132 1527466 1550264 3054932 3100528 6109864 6201056 12219728 12402112 12983461 24439456 25966922 48878912 51933844 103867688 207735376 415470752 830941504