Search a number
-
+
98416128 = 293173769
BaseRepresentation
bin1011101110110…
…11011000000000
320212012001112210
411313123120000
5200143304003
613433222120
72303344326
oct567333000
9225161483
1098416128
115060a548
1228b61940
131750a8c5
14d0dbd16
158990503
hex5ddb600

98416128 has 80 divisors (see below), whose sum is σ = 277683120. Its totient is φ = 30867456.

The previous prime is 98416093. The next prime is 98416147. The reversal of 98416128 is 82161489.

It is a congruent number.

It is an unprimeable number.

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, 24228 + ... + 27996.

It is an arithmetic number, because the mean of its divisors is an integer number (3471039).

Almost surely, 298416128 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 98416128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138841560).

98416128 is an abundant number, since it is smaller than the sum of its proper divisors (179266992).

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

98416128 is a wasteful number, since it uses less digits than its factorization.

98416128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3791 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 98416128 is about 9920.4903104635. The cubic root of 98416128 is about 461.6952695218.

The spelling of 98416128 in words is "ninety-eight million, four hundred sixteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1088 1536 1632 2176 3264 3769 4352 6528 7538 8704 11307 13056 15076 22614 26112 30152 45228 60304 64073 90456 120608 128146 180912 192219 241216 256292 361824 384438 482432 512584 723648 768876 964864 1025168 1447296 1537752 1929728 2050336 2894592 3075504 4100672 5789184 6151008 8201344 12302016 16402688 24604032 32805376 49208064 98416128