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85770401 = 417328657
BaseRepresentation
bin1010001110011…
…00000010100001
312222101120212112
411013030002201
5133424123101
612302205105
72061015323
oct507140241
9188346775
1085770401
1144462632
1224883795
1314a00a22
14b569613
1577e36bb
hex51cc0a1

85770401 has 8 divisors (see below), whose sum is σ = 89069064. Its totient is φ = 82529280.

The previous prime is 85770359. The next prime is 85770439. The reversal of 85770401 is 10407758.

It can be written as a sum of positive squares in 4 ways, for example, as 22801 + 85747600 = 151^2 + 9260^2 .

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 85770401 - 226 = 18661537 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85770001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11336 + ... + 17321.

It is an arithmetic number, because the mean of its divisors is an integer number (11133633).

Almost surely, 285770401 is an apocalyptic number.

It is an amenable number.

85770401 is a deficient number, since it is larger than the sum of its proper divisors (3298663).

85770401 is a wasteful number, since it uses less digits than its factorization.

85770401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28771.

The product of its (nonzero) digits is 7840, while the sum is 32.

The square root of 85770401 is about 9261.2310736748. The cubic root of 85770401 is about 441.0073356417.

The spelling of 85770401 in words is "eighty-five million, seven hundred seventy thousand, four hundred one".

Divisors: 1 41 73 2993 28657 1174937 2091961 85770401