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830857753 = 11231359617
BaseRepresentation
bin110001100001011…
…110001000011001
32010220101221120101
4301201132020121
53200144422003
6214240055401
726406113545
oct6141361031
92126357511
10830857753
11396aa7800
121b2304561
1310319840b
147c4bca25
154ce2011d
hex3185e219

830857753 has 24 divisors (see below), whose sum is σ = 946874880. Its totient is φ = 727742400.

The previous prime is 830857751. The next prime is 830857763. The reversal of 830857753 is 357758038.

It is not a de Polignac number, because 830857753 - 21 = 830857751 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (830857751) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1346301 + ... + 1346917.

It is an arithmetic number, because the mean of its divisors is an integer number (39453120).

Almost surely, 2830857753 is an apocalyptic number.

It is an amenable number.

830857753 is a deficient number, since it is larger than the sum of its proper divisors (116017127).

830857753 is a wasteful number, since it uses less digits than its factorization.

830857753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1029 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 46.

The square root of 830857753 is about 28824.6032583278. The cubic root of 830857753 is about 940.1032604987.

The spelling of 830857753 in words is "eight hundred thirty million, eight hundred fifty-seven thousand, seven hundred fifty-three".

Divisors: 1 11 31 121 341 359 617 3751 3949 6787 11129 19127 43439 74657 122419 210397 221503 1346609 2314367 2436533 6866593 26801863 75532523 830857753