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82898001 = 3217541817
BaseRepresentation
bin1001111000011…
…10110001010001
312202222122200100
410330032301101
5132210214001
612120443013
72024423064
oct474166121
9182878610
1082898001
114288054a
1223919469
1314236494
14b01c8db
157427586
hex4f0ec51

82898001 has 12 divisors (see below), whose sum is σ = 126785412. Its totient is φ = 52014336.

The previous prime is 82897981. The next prime is 82898017. The reversal of 82898001 is 10089828.

It can be written as a sum of positive squares in 2 ways, for example, as 77422401 + 5475600 = 8799^2 + 2340^2 .

It is not a de Polignac number, because 82898001 - 210 = 82896977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (82898401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 270756 + ... + 271061.

It is an arithmetic number, because the mean of its divisors is an integer number (10565451).

Almost surely, 282898001 is an apocalyptic number.

It is an amenable number.

82898001 is a deficient number, since it is larger than the sum of its proper divisors (43887411).

82898001 is a wasteful number, since it uses less digits than its factorization.

82898001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541840 (or 541837 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 82898001 is about 9104.8339358826. The cubic root of 82898001 is about 436.0283084192.

It can be divided in two parts, 8289 and 8001, that added together give a triangular number (16290 = T180).

The spelling of 82898001 in words is "eighty-two million, eight hundred ninety-eight thousand, one".

Divisors: 1 3 9 17 51 153 541817 1625451 4876353 9210889 27632667 82898001