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98442864 = 2434135843
BaseRepresentation
bin1011101111000…
…01111001110000
320212020102020000
411313201321300
5200200132424
613433550000
72303515302
oct567417160
9225212200
1098442864
1150628643
1228b75300
1317519b20
14d107972
1589983c9
hex5de1e70

98442864 has 100 divisors (see below), whose sum is σ = 306891816. Its totient is φ = 30284928.

The previous prime is 98442853. The next prime is 98442881. The reversal of 98442864 is 46824489.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13927 + ... + 19769.

Almost surely, 298442864 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 98442864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153445908).

98442864 is an abundant number, since it is smaller than the sum of its proper divisors (208448952).

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

98442864 is a wasteful number, since it uses less digits than its factorization.

98442864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5861 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 98442864 is about 9921.8377330009. The cubic root of 98442864 is about 461.7370742116.

The spelling of 98442864 in words is "ninety-eight million, four hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 5843 8424 11686 16848 17529 23372 35058 46744 52587 70116 75959 93488 105174 140232 151918 157761 210348 227877 280464 303836 315522 420696 455754 473283 607672 631044 683631 841392 911508 946566 1215344 1262088 1367262 1823016 1893132 2050893 2524176 2734524 3646032 3786264 4101786 5469048 6152679 7572528 8203572 10938096 12305358 16407144 24610716 32814288 49221432 98442864