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857504961 = 353528827
BaseRepresentation
bin110011000111000…
…111110011000001
32012202112202200000
4303013013303001
53224010124321
6221031150213
730151446315
oct6307076301
92182482600
10857504961
11400048195
121bb215369
131088682b1
1481c57b45
1550435826
hex331c7cc1

857504961 has 12 divisors (see below), whose sum is σ = 1284493392. Its totient is φ = 571669812.

The previous prime is 857504959. The next prime is 857505079. The reversal of 857504961 is 169405758.

857504961 is a `hidden beast` number, since 8 + 57 + 504 + 96 + 1 = 666.

857504961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 857504961 - 21 = 857504959 is a prime.

It is a super-2 number, since 2×8575049612 = 1470629516279223042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (857504261) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1764171 + ... + 1764656.

It is an arithmetic number, because the mean of its divisors is an integer number (107041116).

Almost surely, 2857504961 is an apocalyptic number.

857504961 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

857504961 is a deficient number, since it is larger than the sum of its proper divisors (426988431).

857504961 is an equidigital number, since it uses as much as digits as its factorization.

857504961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3528842 (or 3528830 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 857504961 is about 29283.1856361291. The cubic root of 857504961 is about 950.0479979442.

The spelling of 857504961 in words is "eight hundred fifty-seven million, five hundred four thousand, nine hundred sixty-one".

Divisors: 1 3 9 27 81 243 3528827 10586481 31759443 95278329 285834987 857504961