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830912736 = 25343201287
BaseRepresentation
bin110001100001101…
…011100011100000
32010220111201222210
4301201223203200
53200203201421
6214241202120
726406433053
oct6141534340
92126451883
10830912736
11397035045
121b2330340
131031b7454
147c4d4a9a
154ce31576
hex3186b8e0

830912736 has 48 divisors (see below), whose sum is σ = 2231881344. Its totient is φ = 270528384.

The previous prime is 830912729. The next prime is 830912749. The reversal of 830912736 is 637219038.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 830912694 and 830912703.

It is a congruent number.

It is an unprimeable number.

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, 96516 + ... + 104771.

It is an arithmetic number, because the mean of its divisors is an integer number (46497528).

Almost surely, 2830912736 is an apocalyptic number.

830912736 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

830912736 is an abundant number, since it is smaller than the sum of its proper divisors (1400968608).

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

830912736 is a wasteful number, since it uses less digits than its factorization.

830912736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201343 (or 201335 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 830912736 is about 28825.5569937512. The cubic root of 830912736 is about 940.1239975251.

The spelling of 830912736 in words is "eight hundred thirty million, nine hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 201287 402574 603861 805148 1207722 1610296 2415444 3220592 4830888 6441184 8655341 9661776 17310682 19323552 25966023 34621364 51932046 69242728 103864092 138485456 207728184 276970912 415456368 830912736