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98498268 = 22341129953
BaseRepresentation
bin1011101111011…
…11011011011100
320212100020020000
411313233123130
5200203421033
613435054300
72304135651
oct567573334
9225306200
1098498268
1150666230
1228ba1390
13175390cb
14d11dc28
1589a9a13
hex5def6dc

98498268 has 120 divisors (see below), whose sum is σ = 290893680. Its totient is φ = 28788480.

The previous prime is 98498263. The next prime is 98498287. The reversal of 98498268 is 86289489.

98498268 is a `hidden beast` number, since 98 + 498 + 2 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98498263) 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 39 ways as a sum of consecutive naturals, for example, 102880 + ... + 103832.

It is an arithmetic number, because the mean of its divisors is an integer number (2424114).

Almost surely, 298498268 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 98498268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145446840).

98498268 is an abundant number, since it is smaller than the sum of its proper divisors (192395412).

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

98498268 is a wasteful number, since it uses less digits than its factorization.

98498268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1009 (or 998 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 98498268 is about 9924.6293633566. The cubic root of 98498268 is about 461.8236803981.

The spelling of 98498268 in words is "ninety-eight million, four hundred ninety-eight thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 81 87 99 108 116 132 162 174 198 261 297 319 324 348 396 522 594 638 783 891 953 957 1044 1188 1276 1566 1782 1906 1914 2349 2859 2871 3132 3564 3812 3828 4698 5718 5742 8577 8613 9396 10483 11436 11484 17154 17226 20966 25731 25839 27637 31449 34308 34452 41932 51462 51678 55274 62898 77193 82911 94347 102924 103356 110548 125796 154386 165822 188694 248733 283041 304007 308772 331644 377388 497466 566082 608014 746199 849123 912021 994932 1132164 1216028 1492398 1698246 1824042 2238597 2736063 2984796 3396492 3648084 4477194 5472126 8208189 8954388 10944252 16416378 24624567 32832756 49249134 98498268