Base | Representation |
---|---|
bin | 101110100100001… |
… | …110111000100000 |
3 | 2000110001121122011 |
4 | 232210032320200 |
5 | 3100000000310 |
6 | 205304522304 |
7 | 25234342012 |
oct | 5644167040 |
9 | 2013047564 |
10 | 781250080 |
11 | 370aa4826 |
12 | 199780394 |
13 | c5b19770 |
14 | 75a881b2 |
15 | 488c178a |
hex | 2e90ee20 |
781250080 has 96 divisors (see below), whose sum is σ = 2036382768. Its totient is φ = 281395200.
The previous prime is 781249981. The next prime is 781250137. The reversal of 781250080 is 80052187.
It can be written as a sum of positive squares in 8 ways, for example, as 17943696 + 763306384 = 4236^2 + 27628^2 .
It is a super-2 number, since 2×7812500802 = 1220703375000012800, which contains 22 as substring.
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, 80700 + ... + 89860.
Almost surely, 2781250080 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 781250080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018191384).
781250080 is an abundant number, since it is smaller than the sum of its proper divisors (1255132688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
781250080 is a wasteful number, since it uses less digits than its factorization.
781250080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9230 (or 9222 counting only the distinct ones).
The product of its (nonzero) digits is 4480, while the sum is 31.
The square root of 781250080 is about 27950.8511498308. The cubic root of 781250080 is about 921.0079060972.
It can be divided in two parts, 7812500 and 80, that multiplied together give a square (625000000 = 250002).
The spelling of 781250080 in words is "seven hundred eighty-one million, two hundred fifty thousand, eighty".
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