Search a number
-
+
298592 = 2573143
BaseRepresentation
bin1001000111001100000
3120011120222
41020321200
534023332
610222212
72352350
oct1107140
9504528
10298592
11194378
12124968
13a5ba8
147ab60
155d712
hex48e60

298592 has 48 divisors (see below), whose sum is σ = 709632. Its totient is φ = 120960.

The previous prime is 298589. The next prime is 298601. The reversal of 298592 is 295892.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 298592.

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 7 ways as a sum of consecutive naturals, for example, 6923 + ... + 6965.

It is an arithmetic number, because the mean of its divisors is an integer number (14784).

2298592 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 298592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354816).

298592 is an abundant number, since it is smaller than the sum of its proper divisors (411040).

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

298592 is a wasteful number, since it uses less digits than its factorization.

298592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 298592 is about 546.4357235760. The cubic root of 298592 is about 66.8384016709.

The spelling of 298592 in words is "two hundred ninety-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 43 56 62 86 112 124 172 217 224 248 301 344 434 496 602 688 868 992 1204 1333 1376 1736 2408 2666 3472 4816 5332 6944 9331 9632 10664 18662 21328 37324 42656 74648 149296 298592