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297828 = 22328273
BaseRepresentation
bin1001000101101100100
3120010112200
41020231210
534012303
610214500
72350206
oct1105544
9503480
10297828
11193843
12124430
13a573b
147a776
155d3a3
hex48b64

297828 has 18 divisors (see below), whose sum is σ = 752934. Its totient is φ = 99264.

The previous prime is 297811. The next prime is 297833. The reversal of 297828 is 828792.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 19044 = 528^2 + 138^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 8273 = 297828 / (2 + 9 + 7 + 8 + 2 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 297792 and 297801.

It is an unprimeable number.

297828 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4101 + ... + 4172.

2297828 is an apocalyptic number.

It is an amenable number.

297828 is an abundant number, since it is smaller than the sum of its proper divisors (455106).

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

297828 is a wasteful number, since it uses less digits than its factorization.

297828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8283 (or 8278 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 297828 is about 545.7362000088. The cubic root of 297828 is about 66.7813470574.

Subtracting from 297828 its sum of digits (36), we obtain a palindrome (297792).

The spelling of 297828 in words is "two hundred ninety-seven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 8273 16546 24819 33092 49638 74457 99276 148914 297828