Search a number
-
+
98086208 = 2611197333
BaseRepresentation
bin1011101100010…
…10110101000000
320211120021222112
411312022311000
5200102224313
613422154452
72300501423
oct566126500
9224507875
1098086208
1150404690
1228a22a28
131742369c
14d0539ba
1589278a8
hex5d8ad40

98086208 has 56 divisors (see below), whose sum is σ = 223540320. Its totient is φ = 42232320.

The previous prime is 98086187. The next prime is 98086213. The reversal of 98086208 is 80268089.

It is a happy number.

It is a super-3 number, since 3×980862083 (a number of 25 digits) contains 333 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, 9710 + ... + 17042.

Almost surely, 298086208 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 98086208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111770160).

98086208 is an abundant number, since it is smaller than the sum of its proper divisors (125454112).

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

98086208 is a wasteful number, since it uses less digits than its factorization.

98086208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7375 (or 7365 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 41.

The square root of 98086208 is about 9903.8481410005. The cubic root of 98086208 is about 461.1787788673.

The spelling of 98086208 in words is "ninety-eight million, eighty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 152 176 209 304 352 418 608 704 836 1216 1672 3344 6688 7333 13376 14666 29332 58664 80663 117328 139327 161326 234656 278654 322652 469312 557308 645304 1114616 1290608 1532597 2229232 2581216 3065194 4458464 5162432 6130388 8916928 12260776 24521552 49043104 98086208