Base | Representation |
---|---|
bin | 110100001111001… |
… | …011101000100000 |
3 | 2021002002110222120 |
4 | 310033023220200 |
5 | 3243324120130 |
6 | 222544104240 |
7 | 30501143403 |
oct | 6417135040 |
9 | 2232073876 |
10 | 876395040 |
11 | 40a77a624 |
12 | 205605080 |
13 | 10c750461 |
14 | 84573d3a |
15 | 51e17910 |
hex | 343cba20 |
876395040 has 96 divisors (see below), whose sum is σ = 2824911936. Its totient is φ = 228264960.
The previous prime is 876395011. The next prime is 876395077. The reversal of 876395040 is 40593678.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×8763950402 = 1536136532273203200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 876394983 and 876395001.
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 15 ways as a sum of consecutive naturals, for example, 591 + ... + 41870.
It is an arithmetic number, because the mean of its divisors is an integer number (29426166).
Almost surely, 2876395040 is an apocalyptic number.
876395040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 876395040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412455968).
876395040 is an abundant number, since it is smaller than the sum of its proper divisors (1948516896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
876395040 is a wasteful number, since it uses less digits than its factorization.
876395040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 42522 (or 42514 counting only the distinct ones).
The product of its (nonzero) digits is 181440, while the sum is 42.
The square root of 876395040 is about 29603.9700040383. The cubic root of 876395040 is about 956.9736292058.
The spelling of 876395040 in words is "eight hundred seventy-six million, three hundred ninety-five thousand, forty".
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