Search a number
-
+
830936448 = 2733240433
BaseRepresentation
bin110001100001110…
…001010110000000
32010220112221112000
4301201301112000
53200204431243
6214241504000
726406562146
oct6141612600
92126487460
10830936448
11397050941
121b2342000
131031c5194
147c4dd596
154ce385d3
hex31871580

830936448 has 64 divisors (see below), whose sum is σ = 2452426800. Its totient is φ = 276977664.

The previous prime is 830936441. The next prime is 830936459. The reversal of 830936448 is 844639038.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8309364482 = 1380910761229713408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830936441) 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 7 ways as a sum of consecutive naturals, for example, 116761 + ... + 123672.

Almost surely, 2830936448 is an apocalyptic number.

It is an amenable number.

830936448 is an abundant number, since it is smaller than the sum of its proper divisors (1621490352).

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

830936448 is a wasteful number, since it uses less digits than its factorization.

830936448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240456 (or 240438 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 830936448 is about 28825.9682924963. The cubic root of 830936448 is about 940.1329403046.

The spelling of 830936448 in words is "eight hundred thirty million, nine hundred thirty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 240433 480866 721299 961732 1442598 1923464 2163897 2885196 3846928 4327794 5770392 6491691 7693856 8655588 11540784 12983382 15387712 17311176 23081568 25966764 30775424 34622352 46163136 51933528 69244704 92326272 103867056 138489408 207734112 276978816 415468224 830936448