Search a number
-
+
98991616 = 292959113
BaseRepresentation
bin1011110011001…
…11111000000000
320220021021222011
411321213320000
5200320212431
613453422304
72311262203
oct571477000
9226237864
1098991616
1150972959
122919a994
131767c829
14d20b93a
158a55cb1
hex5e67e00

98991616 has 80 divisors (see below), whose sum is σ = 209919600. Its totient is φ = 46563328.

The previous prime is 98991583. The next prime is 98991619. The reversal of 98991616 is 61619989.

It is a self number, because there is not a number n which added to its sum of digits gives 98991616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98991619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875976 + ... + 876088.

It is an arithmetic number, because the mean of its divisors is an integer number (2623995).

Almost surely, 298991616 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 98991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104959800).

98991616 is an abundant number, since it is smaller than the sum of its proper divisors (110927984).

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

98991616 is a wasteful number, since it uses less digits than its factorization.

98991616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its digits is 209952, while the sum is 49.

The square root of 98991616 is about 9949.4530502938. The cubic root of 98991616 is about 462.5934416510.

The spelling of 98991616 in words is "ninety-eight million, nine hundred ninety-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 59 64 113 116 118 128 226 232 236 256 452 464 472 512 904 928 944 1711 1808 1856 1888 3277 3422 3616 3712 3776 6554 6667 6844 7232 7424 7552 13108 13334 13688 14464 14848 15104 26216 26668 27376 28928 30208 52432 53336 54752 57856 104864 106672 109504 193343 209728 213344 219008 386686 419456 426688 438016 773372 838912 853376 876032 1546744 1677824 1706752 3093488 3413504 6186976 12373952 24747904 49495808 98991616