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98289856 = 267239539
BaseRepresentation
bin1011101101111…
…00100011000000
320211221122100001
411312330203000
5200130233411
613430405344
72302310230
oct566744300
9224848301
1098289856
1150533695
1228b00854
13174952a2
14d0a7cc0
158967dc1
hex5dbc8c0

98289856 has 56 divisors (see below), whose sum is σ = 232623360. Its totient is φ = 40288512.

The previous prime is 98289839. The next prime is 98289857. The reversal of 98289856 is 65898289.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 98289797 and 98289806.

It is not an unprimeable number, because it can be changed into a prime (98289857) 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 7 ways as a sum of consecutive naturals, for example, 5535 + ... + 15073.

Almost surely, 298289856 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 98289856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116311680).

98289856 is an abundant number, since it is smaller than the sum of its proper divisors (134333504).

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

98289856 is a wasteful number, since it uses less digits than its factorization.

98289856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9581 (or 9571 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 55.

The square root of 98289856 is about 9914.1240661997. The cubic root of 98289856 is about 461.4977269121.

The spelling of 98289856 in words is "ninety-eight million, two hundred eighty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 448 644 736 1288 1472 2576 5152 9539 10304 19078 38156 66773 76312 133546 152624 219397 267092 305248 438794 534184 610496 877588 1068368 1535779 1755176 2136736 3071558 3510352 4273472 6143116 7020704 12286232 14041408 24572464 49144928 98289856