Search a number
-
+
99688288 = 2571959397
BaseRepresentation
bin1011111000100…
…01111101100000
320221120200121211
411330101331200
5201010011123
613520355504
72320223260
oct574217540
9227520554
1099688288
11512a9317
1229475b94
131786496b
14d34d7a0
158b4240d
hex5f11f60

99688288 has 96 divisors (see below), whose sum is σ = 240710400. Its totient is φ = 39688704.

The previous prime is 99688247. The next prime is 99688321. The reversal of 99688288 is 88288699.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250906 + ... + 251302.

It is an arithmetic number, because the mean of its divisors is an integer number (2507400).

Almost surely, 299688288 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 99688288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120355200).

99688288 is an abundant number, since it is smaller than the sum of its proper divisors (141022112).

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

99688288 is a wasteful number, since it uses less digits than its factorization.

99688288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 484 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 58.

The square root of 99688288 is about 9984.4022354871. The cubic root of 99688288 is about 463.6761017377.

The spelling of 99688288 in words is "ninety-nine million, six hundred eighty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 59 76 112 118 133 152 224 236 266 304 397 413 472 532 608 794 826 944 1064 1121 1588 1652 1888 2128 2242 2779 3176 3304 4256 4484 5558 6352 6608 7543 7847 8968 11116 12704 13216 15086 15694 17936 22232 23423 30172 31388 35872 44464 46846 52801 60344 62776 88928 93692 105602 120688 125552 163961 187384 211204 241376 251104 327922 374768 422408 445037 655844 749536 844816 890074 1311688 1689632 1780148 2623376 3115259 3560296 5246752 6230518 7120592 12461036 14241184 24922072 49844144 99688288