Search a number
-
+
298192896 = 212328089
BaseRepresentation
bin10001110001100…
…001000000000000
3202210002202202100
4101301201000000
51102314133041
645331150400
710250412021
oct2161410000
9683082670
10298192896
1114335a811
1283a45400
1349a17401
142b862c48
151b2a36b6
hex11c61000

298192896 has 78 divisors (see below), whose sum is σ = 861447470. Its totient is φ = 99385344.

The previous prime is 298192889. The next prime is 298192901. The reversal of 298192896 is 698291892.

It can be written as a sum of positive squares in only one way, i.e., 165482496 + 132710400 = 12864^2 + 11520^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32820 + ... + 40908.

Almost surely, 2298192896 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 298192896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430723735).

298192896 is an abundant number, since it is smaller than the sum of its proper divisors (563254574).

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

298192896 is an equidigital number, since it uses as much as digits as its factorization.

298192896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8094 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 298192896 is about 17268.2626804204. The cubic root of 298192896 is about 668.0860921465.

The spelling of 298192896 in words is "two hundred ninety-eight million, one hundred ninety-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8089 9216 12288 16178 18432 24267 32356 36864 48534 64712 72801 97068 129424 145602 194136 258848 291204 388272 517696 582408 776544 1035392 1164816 1553088 2070784 2329632 3106176 4141568 4659264 6212352 8283136 9318528 12424704 16566272 18637056 24849408 33132544 37274112 49698816 74548224 99397632 149096448 298192896