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800857381 = 10139719973
BaseRepresentation
bin101111101111000…
…001110100100101
32001210221202210111
4233233001310211
53120004414011
6211245053021
725563114112
oct5757016445
92053852714
10800857381
11381077005
121a4257171
13c9bc320c
147850d909
154a496121
hex2fbc1d25

800857381 has 8 divisors (see below), whose sum is σ = 810864504. Its totient is φ = 790891200.

The previous prime is 800857357. The next prime is 800857397. The reversal of 800857381 is 183758008.

It can be written as a sum of positive squares in 4 ways, for example, as 341140900 + 459716481 = 18470^2 + 21441^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 800857381 - 215 = 800824613 is a prime.

It is a super-2 number, since 2×8008573812 = 1282745089404358322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (800857081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30111 + ... + 50083.

It is an arithmetic number, because the mean of its divisors is an integer number (101358063).

Almost surely, 2800857381 is an apocalyptic number.

It is an amenable number.

800857381 is a deficient number, since it is larger than the sum of its proper divisors (10007123).

800857381 is a wasteful number, since it uses less digits than its factorization.

800857381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20471.

The product of its (nonzero) digits is 53760, while the sum is 40.

The square root of 800857381 is about 28299.4236867114. The cubic root of 800857381 is about 928.6492824923.

The spelling of 800857381 in words is "eight hundred million, eight hundred fifty-seven thousand, three hundred eighty-one".

Divisors: 1 101 397 19973 40097 2017273 7929281 800857381