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98472 = 23311373
BaseRepresentation
bin11000000010101000
312000002010
4120002220
511122342
62035520
7560043
oct300250
9160063
1098472
1167a90
1248ba0
1335a8a
1427c5a
151e29c
hex180a8

98472 has 32 divisors (see below), whose sum is σ = 269280. Its totient is φ = 29760.

The previous prime is 98467. The next prime is 98473. The reversal of 98472 is 27489.

It is not an unprimeable number, because it can be changed into a prime (98473) by changing a digit.

98472 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 450.

It is an arithmetic number, because the mean of its divisors is an integer number (8415).

298472 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 98472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134640).

98472 is an abundant number, since it is smaller than the sum of its proper divisors (170808).

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

98472 is a wasteful number, since it uses less digits than its factorization.

98472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393 (or 389 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 98472 is about 313.8024856498. The cubic root of 98472 is about 46.1782622949.

The spelling of 98472 in words is "ninety-eight thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 373 746 1119 1492 2238 2984 4103 4476 8206 8952 12309 16412 24618 32824 49236 98472