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98666368 = 271745343
BaseRepresentation
bin1011110000110…
…00011110000000
320212122202210221
411320120132000
5200224310433
613442432424
72305436023
oct570303600
9225582727
1098666368
1150770559
1229062714
1317597788
14d1651ba
1589de72d
hex5e18780

98666368 has 32 divisors (see below), whose sum is σ = 208128960. Its totient is φ = 46430208.

The previous prime is 98666353. The next prime is 98666369. The reversal of 98666368 is 86366689.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×986663683 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98666369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20496 + ... + 24847.

It is an arithmetic number, because the mean of its divisors is an integer number (6504030).

Almost surely, 298666368 is an apocalyptic number.

It is an amenable number.

98666368 is an abundant number, since it is smaller than the sum of its proper divisors (109462592).

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

98666368 is a wasteful number, since it uses less digits than its factorization.

98666368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45374 (or 45362 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 98666368 is about 9933.0945832605. The cubic root of 98666368 is about 462.0862516451.

The spelling of 98666368 in words is "ninety-eight million, six hundred sixty-six thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 45343 90686 181372 362744 725488 770831 1450976 1541662 2901952 3083324 5803904 6166648 12333296 24666592 49333184 98666368