Search a number
-
+
98495280 = 243251317619
BaseRepresentation
bin1011101111011…
…10101100110000
320212100002010100
411313232230300
5200203322110
613435032400
72304124152
oct567565460
9225302110
1098495280
1150663a64
1228b9b700
1317537940
14d11cad2
1589a8bc0
hex5deeb30

98495280 has 240 divisors, whose sum is σ = 377788320. Its totient is φ = 22781952.

The previous prime is 98495279. The next prime is 98495311. The reversal of 98495280 is 8259489.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 158811 + ... + 159429.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118).

Almost surely, 298495280 is an apocalyptic number.

98495280 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 98495280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188894160).

98495280 is an abundant number, since it is smaller than the sum of its proper divisors (279293040).

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

98495280 is a wasteful number, since it uses less digits than its factorization.

98495280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 98495280 is about 9924.4788276262. The cubic root of 98495280 is about 461.8190104577.

It can be divided in two parts, 9849 and 5280, that added together give a square (15129 = 1232).

The spelling of 98495280 in words is "ninety-eight million, four hundred ninety-five thousand, two hundred eighty".