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98428288 = 277372969
BaseRepresentation
bin1011101110111…
…10010110000000
320212012200020011
411313132112000
5200144201123
613433354304
72303424640
oct567362600
9225180204
1098428288
11506186a2
1228b68994
13175132ba
14d102520
158993e0d
hex5dde580

98428288 has 64 divisors (see below), whose sum is σ = 230234400. Its totient is φ = 41029632.

The previous prime is 98428271. The next prime is 98428301. The reversal of 98428288 is 88282489.

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

It is a super-2 number, since 2×984282882 = 19376255757221888, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31668 + ... + 34636.

Almost surely, 298428288 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 98428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115117200).

98428288 is an abundant number, since it is smaller than the sum of its proper divisors (131806112).

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

98428288 is a wasteful number, since it uses less digits than its factorization.

98428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027 (or 3015 counting only the distinct ones).

The product of its digits is 589824, while the sum is 49.

The square root of 98428288 is about 9921.1031644671. The cubic root of 98428288 is about 461.7142839638.

The spelling of 98428288 in words is "ninety-eight million, four hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 259 296 448 518 592 896 1036 1184 2072 2368 2969 4144 4736 5938 8288 11876 16576 20783 23752 33152 41566 47504 83132 95008 109853 166264 190016 219706 332528 380032 439412 665056 768971 878824 1330112 1537942 1757648 2660224 3075884 3515296 6151768 7030592 12303536 14061184 24607072 49214144 98428288