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898164 = 223261409
BaseRepresentation
bin11011011010001110100
31200122001100
43123101310
5212220124
631130100
710430361
oct3332164
91618040
10898164
11563893
12373930
13255a77
14195468
1512b1c9
hexdb474

898164 has 36 divisors (see below), whose sum is σ = 2313220. Its totient is φ = 293760.

The previous prime is 898153. The next prime is 898171. The reversal of 898164 is 461898.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 396900 + 501264 = 630^2 + 708^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1992 + ... + 2400.

2898164 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 898164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156610).

898164 is an abundant number, since it is smaller than the sum of its proper divisors (1415056).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

898164 is a wasteful number, since it uses less digits than its factorization.

898164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 475 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 898164 is about 947.7151470774. The cubic root of 898164 is about 96.4832404875.

It can be divided in two parts, 8981 and 64, that added together give a triangular number (9045 = T134).

The spelling of 898164 in words is "eight hundred ninety-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 409 549 732 818 1098 1227 1636 2196 2454 3681 4908 7362 14724 24949 49898 74847 99796 149694 224541 299388 449082 898164