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85174441 = 1128392
BaseRepresentation
bin1010001001110…
…10100010101001
312221021022100221
411010322202221
5133301040231
612241330041
72052653662
oct504724251
9187238327
1085174441
1144095900
1224636921
13148526a1
14b452369
157726d11
hex513a8a9

85174441 has 9 divisors (see below), whose sum is σ = 93733213. Its totient is φ = 77339020.

The previous prime is 85174423. The next prime is 85174447. The reversal of 85174441 is 14447158.

It is a happy number.

The square root of 85174441 is 9229.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 85174441 - 221 = 83077289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 85174397 and 85174406.

It is not an unprimeable number, because it can be changed into a prime (85174447) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 101100 + ... + 101938.

Almost surely, 285174441 is an apocalyptic number.

85174441 is the 9229-th square number.

85174441 is the 4615-th centered octagonal number.

It is an amenable number.

85174441 is a deficient number, since it is larger than the sum of its proper divisors (8558772).

85174441 is an frugal number, since it uses more digits than its factorization.

85174441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 850 counting only the distinct ones).

The product of its digits is 17920, while the sum is 34.

The cubic root of 85174441 is about 439.9835410510.

The spelling of 85174441 in words is "eighty-five million, one hundred seventy-four thousand, four hundred forty-one".

Divisors: 1 11 121 839 9229 101519 703921 7743131 85174441