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98056008 = 23343892
BaseRepresentation
bin1011101100000…
…11011101001000
320211111202120000
411312003131020
5200100243013
613421403000
72300314401
oct566033510
9224452500
1098056008
1150393a26
1228a09460
1317412a0b
14d0469a8
15891d973
hex5d83748

98056008 has 60 divisors (see below), whose sum is σ = 275355465. Its totient is φ = 32601312.

The previous prime is 98055929. The next prime is 98056067. The reversal of 98056008 is 80065089.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

98056008 is a `hidden beast` number, since 98 + 0 + 560 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 90668484 + 7387524 = 9522^2 + 2718^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=7002.

It is a super-2 number, since 2×980560082 = 19229961409792128, which contains 22 as substring.

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

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 251878 + ... + 252266.

Almost surely, 298056008 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 98056008

98056008 is an abundant number, since it is smaller than the sum of its proper divisors (177299457).

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

98056008 is an equidigital number, since it uses as much as digits as its factorization.

98056008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 394 counting only the distinct ones).

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

The square root of 98056008 is about 9902.3233637364. The cubic root of 98056008 is about 461.1314428587.

The spelling of 98056008 in words is "ninety-eight million, fifty-six thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 389 648 778 1167 1556 2334 3112 3501 4668 7002 9336 10503 14004 21006 28008 31509 42012 63018 84024 126036 151321 252072 302642 453963 605284 907926 1210568 1361889 1815852 2723778 3631704 4085667 5447556 8171334 10895112 12257001 16342668 24514002 32685336 49028004 98056008