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98065008 = 243223291021
BaseRepresentation
bin1011101100001…
…01101001110000
320211112012220100
411312011221300
5200101040013
613421512400
72300352546
oct566055160
9224465810
1098065008
115039a768
1228a12700
1317416b42
14d049d96
158921473
hex5d85a70

98065008 has 120 divisors (see below), whose sum is σ = 296543520. Its totient is φ = 30159360.

The previous prime is 98065007. The next prime is 98065043. The reversal of 98065008 is 80056089.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98065001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95538 + ... + 96558.

It is an arithmetic number, because the mean of its divisors is an integer number (2471196).

Almost surely, 298065008 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 98065008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148271760).

98065008 is an abundant number, since it is smaller than the sum of its proper divisors (198478512).

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

98065008 is a wasteful number, since it uses less digits than its factorization.

98065008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 98065008 is about 9902.7777921147. Note that the first 4 decimals coincide. The cubic root of 98065008 is about 461.1455506328.

The spelling of 98065008 in words is "ninety-eight million, sixty-five thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 29 36 46 48 58 69 72 87 92 116 138 144 174 184 207 232 261 276 348 368 414 464 522 552 667 696 828 1021 1044 1104 1334 1392 1656 2001 2042 2088 2668 3063 3312 4002 4084 4176 5336 6003 6126 8004 8168 9189 10672 12006 12252 16008 16336 18378 23483 24012 24504 29609 32016 36756 46966 48024 49008 59218 70449 73512 88827 93932 96048 118436 140898 147024 177654 187864 211347 236872 266481 281796 355308 375728 422694 473744 532962 563592 681007 710616 845388 1065924 1127184 1362014 1421232 1690776 2043021 2131848 2724028 3381552 4086042 4263696 5448056 6129063 8172084 10896112 12258126 16344168 24516252 32688336 49032504 98065008