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98904 = 23313317
BaseRepresentation
bin11000001001011000
312000200010
4120021120
511131104
62041520
7561231
oct301130
9160603
1098904
1168343
12492a0
1336030
1428088
151e489
hex18258

98904 has 32 divisors (see below), whose sum is σ = 267120. Its totient is φ = 30336.

The previous prime is 98899. The next prime is 98909. The reversal of 98904 is 40989.

It is an interprime number because it is at equal distance from previous prime (98899) and next prime (98909).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98909) by changing a digit.

98904 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, 154 + ... + 470.

298904 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 98904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133560).

98904 is an abundant number, since it is smaller than the sum of its proper divisors (168216).

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

98904 is a wasteful number, since it uses less digits than its factorization.

98904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 98904 is about 314.4900634360. The cubic root of 98904 is about 46.2456923185.

The spelling of 98904 in words is "ninety-eight thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 317 634 951 1268 1902 2536 3804 4121 7608 8242 12363 16484 24726 32968 49452 98904