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98330688 = 2632533221
BaseRepresentation
bin1011101110001…
…10100001000000
320212000201100100
411313012201000
5200133040223
613431322400
72302540251
oct567064100
9225021310
1098330688
1150561335
1228b20400
13174aaa51
14d0b8b28
158975043
hex5dc6840

98330688 has 84 divisors (see below), whose sum is σ = 287254188. Its totient is φ = 32148480.

The previous prime is 98330663. The next prime is 98330693. The reversal of 98330688 is 88603389.

It can be written as a sum of positive squares in 2 ways, for example, as 73410624 + 24920064 = 8568^2 + 4992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28918 + ... + 32138.

Almost surely, 298330688 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 98330688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143627094).

98330688 is an abundant number, since it is smaller than the sum of its proper divisors (188923500).

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

98330688 is a wasteful number, since it uses less digits than its factorization.

98330688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3279 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 98330688 is about 9916.1831366711. The cubic root of 98330688 is about 461.5616238632.

The spelling of 98330688 in words is "ninety-eight million, three hundred thirty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1908 2544 3221 3392 3816 5088 6442 7632 9663 10176 12884 15264 19326 25768 28989 30528 38652 51536 57978 77304 103072 115956 154608 170713 206144 231912 309216 341426 463824 512139 618432 682852 927648 1024278 1365704 1536417 1855296 2048556 2731408 3072834 4097112 5462816 6145668 8194224 10925632 12291336 16388448 24582672 32776896 49165344 98330688