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98812 = 2273529
BaseRepresentation
bin11000000111111100
312000112201
4120013330
511130222
62041244
7561040
oct300774
9160481
1098812
116826a
1249224
1335c8c
1428020
151e427
hex181fc

98812 has 12 divisors (see below), whose sum is σ = 197680. Its totient is φ = 42336.

The previous prime is 98809. The next prime is 98837. The reversal of 98812 is 21889.

98812 is an admirable number.

It is a super-2 number, since 2×988122 = 19527622688, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

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: 3529 = 98812 / (9 + 8 + 8 + 1 + 2).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1737 + ... + 1792.

298812 is an apocalyptic number.

It is an amenable number.

98812 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 (98840).

98812 is a wasteful number, since it uses less digits than its factorization.

98812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3538 counting only the distinct ones).

The product of its digits is 1152, while the sum is 28.

The square root of 98812 is about 314.3437608733. The cubic root of 98812 is about 46.2313487006.

It can be divided in two parts, 988 and 12, that added together give a cube (1000 = 103).

The spelling of 98812 in words is "ninety-eight thousand, eight hundred twelve".

Divisors: 1 2 4 7 14 28 3529 7058 14116 24703 49406 98812