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98168805 = 325722112
BaseRepresentation
bin1011101100111…
…10111111100101
320211201111021200
411312132333211
5200112400210
613424033113
72301264300
oct566367745
9224644250
1098168805
1150460749
1228a62799
1317452167
14d075b37
1589420c0
hex5d9efe5

98168805 has 54 divisors (see below), whose sum is σ = 198882918. Its totient is φ = 44664480.

The previous prime is 98168737. The next prime is 98168809. The reversal of 98168805 is 50886189.

It can be written as a sum of positive squares in only one way, i.e., 78535044 + 19633761 = 8862^2 + 4431^2 .

It is not a de Polignac number, because 98168805 - 28 = 98168549 is a prime.

It is a super-2 number, since 2×981688052 = 19274228550256050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98168809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 465150 + ... + 465360.

It is an arithmetic number, because the mean of its divisors is an integer number (3683017).

Almost surely, 298168805 is an apocalyptic number.

It is an amenable number.

98168805 is an abundant number, since it is smaller than the sum of its proper divisors (100714113).

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

98168805 is a wasteful number, since it uses less digits than its factorization.

98168805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 98168805 is about 9908.0172083016. The cubic root of 98168805 is about 461.3081932439.

Multiplying 98168805 by its sum of digits (45), we get a square (4417596225 = 664652).

98168805 divided by its sum of digits (45) gives a square (2181529 = 14772).

The spelling of 98168805 in words is "ninety-eight million, one hundred sixty-eight thousand, eight hundred five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 211 245 315 441 633 735 1055 1477 1899 2205 3165 4431 7385 9495 10339 13293 22155 31017 44521 51695 66465 93051 133563 155085 222605 311647 400689 465255 667815 934941 1558235 2003445 2181529 2804823 4674705 6544587 10907645 14024115 19633761 32722935 98168805