Search a number
-
+
98318880 = 25335112069
BaseRepresentation
bin1011101110000…
…11101000100000
320212000010011000
411313003220200
5200132201010
613431152000
72302460652
oct567035040
9225003130
1098318880
1150553480
1228b15600
13174a556a
14d0b46d2
1589717c0
hex5dc3a20

98318880 has 192 divisors, whose sum is σ = 375580800. Its totient is φ = 23823360.

The previous prime is 98318851. The next prime is 98318893. The reversal of 98318880 is 8881389.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46486 + ... + 48554.

It is an arithmetic number, because the mean of its divisors is an integer number (1956150).

Almost surely, 298318880 is an apocalyptic number.

98318880 is a gapful number since it is divisible by the number (90) 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 98318880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187790400).

98318880 is an abundant number, since it is smaller than the sum of its proper divisors (277261920).

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

98318880 is a wasteful number, since it uses less digits than its factorization.

98318880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 98318880 is about 9915.5877284203. The cubic root of 98318880 is about 461.5431476447.

The spelling of 98318880 in words is "ninety-eight million, three hundred eighteen thousand, eight hundred eighty".