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98071008 = 2537197681
BaseRepresentation
bin1011101100001…
…11000111100000
320211112112010120
411312013013200
5200101233013
613422000240
72300406210
oct566070740
9224475116
1098071008
11503a4222
1228a16080
13174197a9
14d04c240
158923123
hex5d871e0

98071008 has 96 divisors (see below), whose sum is σ = 309738240. Its totient is φ = 26542080.

The previous prime is 98070983. The next prime is 98071013. The reversal of 98071008 is 80017089.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×980710082 = 19235845220272128, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 98071008.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8928 + ... + 16608.

It is an arithmetic number, because the mean of its divisors is an integer number (3226440).

Almost surely, 298071008 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 98071008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154869120).

98071008 is an abundant number, since it is smaller than the sum of its proper divisors (211667232).

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

98071008 is a wasteful number, since it uses less digits than its factorization.

98071008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720 (or 7712 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 33.

The square root of 98071008 is about 9903.0807327821. The cubic root of 98071008 is about 461.1549553359.

The spelling of 98071008 in words is "ninety-eight million, seventy-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 76 84 96 112 114 133 152 168 224 228 266 304 336 399 456 532 608 672 798 912 1064 1596 1824 2128 3192 4256 6384 7681 12768 15362 23043 30724 46086 53767 61448 92172 107534 122896 145939 161301 184344 215068 245792 291878 322602 368688 430136 437817 583756 645204 737376 860272 875634 1021573 1167512 1290408 1720544 1751268 2043146 2335024 2580816 3064719 3502536 4086292 4670048 5161632 6129438 7005072 8172584 12258876 14010144 16345168 24517752 32690336 49035504 98071008