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98608256 = 273747443
BaseRepresentation
bin1011110000010…
…10010010000000
320212112211002122
411320022102000
5200220431011
613441303412
72305104425
oct570122200
9225484078
1098608256
115073092a
1229034b68
13175771a6
14d14bd4c
1589cc3db
hex5e0a480

98608256 has 64 divisors (see below), whose sum is σ = 206513280. Its totient is φ = 46844928.

The previous prime is 98608253. The next prime is 98608259. The reversal of 98608256 is 65280689.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (98608253) and next prime (98608259).

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (98608253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222371 + ... + 222813.

It is an arithmetic number, because the mean of its divisors is an integer number (3226770).

Almost surely, 298608256 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 98608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103256640).

98608256 is an abundant number, since it is smaller than the sum of its proper divisors (107905024).

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

98608256 is a wasteful number, since it uses less digits than its factorization.

98608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 98608256 is about 9930.1689814424. The cubic root of 98608256 is about 461.9955147831.

The spelling of 98608256 in words is "ninety-eight million, six hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 47 64 74 94 128 148 188 296 376 443 592 752 886 1184 1504 1739 1772 2368 3008 3478 3544 4736 6016 6956 7088 13912 14176 16391 20821 27824 28352 32782 41642 55648 56704 65564 83284 111296 131128 166568 222592 262256 333136 524512 666272 770377 1049024 1332544 1540754 2098048 2665088 3081508 6163016 12326032 24652064 49304128 98608256