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298928 = 24717157
BaseRepresentation
bin1001000111110110000
3120012001102
41020332300
534031203
610223532
72353340
oct1107660
9505042
10298928
11194653
12124ba8
13a60a6
147ad20
155d888
hex48fb0

298928 has 40 divisors (see below), whose sum is σ = 705312. Its totient is φ = 119808.

The previous prime is 298897. The next prime is 298937. The reversal of 298928 is 829892.

It is a junction number, because it is equal to n+sod(n) for n = 298891 and 298900.

It is an unprimeable number.

298928 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 7 ways as a sum of consecutive naturals, for example, 1826 + ... + 1982.

2298928 is an apocalyptic number.

298928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 298928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352656).

298928 is an abundant number, since it is smaller than the sum of its proper divisors (406384).

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

298928 is a wasteful number, since it uses less digits than its factorization.

298928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its digits is 20736, while the sum is 38.

The square root of 298928 is about 546.7430840898. The cubic root of 298928 is about 66.8634629412.

The spelling of 298928 in words is "two hundred ninety-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 157 238 272 314 476 628 952 1099 1256 1904 2198 2512 2669 4396 5338 8792 10676 17584 18683 21352 37366 42704 74732 149464 298928