Search a number
-
+
2098403328 = 2113797503
BaseRepresentation
bin111110100010011…
…0001100000000000
312102020111221012210
41331010301200000
513244142401303
6544120022120
7103000063650
oct17504614000
95366457183
102098403328
1198754852a
124a6901940
1327597c198
1415c992360
15c434e203
hex7d131800

2098403328 has 192 divisors, whose sum is σ = 6472327680. Its totient is φ = 592183296.

The previous prime is 2098403309. The next prime is 2098403357. The reversal of 2098403328 is 8233048902.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×20984033282 = 8806593053922951168, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4171525 + ... + 4172027.

It is an arithmetic number, because the mean of its divisors is an integer number (33710040).

Almost surely, 22098403328 is an apocalyptic number.

2098403328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2098403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3236163840).

2098403328 is an abundant number, since it is smaller than the sum of its proper divisors (4373924352).

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

2098403328 is an equidigital number, since it uses as much as digits as its factorization.

2098403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 2098403328 is about 45808.3325171305. The cubic root of 2098403328 is about 1280.2545327152.

The spelling of 2098403328 in words is "two billion, ninety-eight million, four hundred three thousand, three hundred twenty-eight".