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85014401 = 15723449
BaseRepresentation
bin1010001000100…
…11011110000001
312220222011211112
411010103132001
5133230430101
612234053105
72051416253
oct504233601
9186864745
1085014401
1143a9663a
122457a195
13147c78a4
14b40dcd3
1576e46bb
hex5113781

85014401 has 6 divisors (see below), whose sum is σ = 85584150. Its totient is φ = 84448416.

The previous prime is 85014383. The next prime is 85014403. The reversal of 85014401 is 10441058.

It can be written as a sum of positive squares in 3 ways, for example, as 2640625 + 82373776 = 1625^2 + 9076^2 .

It is not a de Polignac number, because 85014401 - 26 = 85014337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85014403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22925 + ... + 26373.

It is an arithmetic number, because the mean of its divisors is an integer number (14264025).

Almost surely, 285014401 is an apocalyptic number.

It is an amenable number.

85014401 is a deficient number, since it is larger than the sum of its proper divisors (569749).

85014401 is an equidigital number, since it uses as much as digits as its factorization.

85014401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3606 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 85014401 is about 9220.3254280963. The cubic root of 85014401 is about 439.7077966937.

Adding to 85014401 its reverse (10441058), we get a palindrome (95455459).

It can be divided in two parts, 850 and 14401, that added together give a palindrome (15251).

The spelling of 85014401 in words is "eighty-five million, fourteen thousand, four hundred one".

Divisors: 1 157 3449 24649 541493 85014401