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98912 = 2511281
BaseRepresentation
bin11000001001100000
312000200102
4120021200
511131122
62041532
7561242
oct301140
9160612
1098912
1168350
12492a8
1336038
1428092
151e492
hex18260

98912 has 24 divisors (see below), whose sum is σ = 213192. Its totient is φ = 44800.

The previous prime is 98911. The next prime is 98927. The reversal of 98912 is 21989.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 212 + ... + 492.

It is an arithmetic number, because the mean of its divisors is an integer number (8883).

298912 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 98912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106596).

98912 is an abundant number, since it is smaller than the sum of its proper divisors (114280).

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

98912 is a wasteful number, since it uses less digits than its factorization.

98912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 294 counting only the distinct ones).

The product of its digits is 1296, while the sum is 29.

The square root of 98912 is about 314.5027821817. The cubic root of 98912 is about 46.2469391692.

It can be divided in two parts, 989 and 12, that added together give a palindrome (1001).

The spelling of 98912 in words is "ninety-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 281 352 562 1124 2248 3091 4496 6182 8992 12364 24728 49456 98912