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98308 = 2273511
BaseRepresentation
bin11000000000000100
311222212001
4120000010
511121213
62035044
7556420
oct300004
9158761
1098308
1167951
1248a84
1335992
1427b80
151e1dd
hex18004

98308 has 12 divisors (see below), whose sum is σ = 196672. Its totient is φ = 42120.

The previous prime is 98299. The next prime is 98317. The reversal of 98308 is 80389.

98308 is nontrivially palindromic in base 12.

It is an interprime number because it is at equal distance from previous prime (98299) and next prime (98317).

98308 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3511 = 98308 / (9 + 8 + 3 + 0 + 8).

It is a congruent number.

It is an unprimeable number.

98308 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1728 + ... + 1783.

298308 is an apocalyptic number.

It is an amenable number.

98308 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98336).

98308 is a wasteful number, since it uses less digits than its factorization.

98308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 98308 is about 313.5410658909. The cubic root of 98308 is about 46.1526122177.

Subtracting from 98308 its product of nonzero digits (1728), we obtain a triangular number (96580 = T439).

It can be divided in two parts, 98 and 308, that added together give a triangular number (406 = T28).

The spelling of 98308 in words is "ninety-eight thousand, three hundred eight".

Divisors: 1 2 4 7 14 28 3511 7022 14044 24577 49154 98308