Search a number
-
+
98396480 = 26571331109
BaseRepresentation
bin1011101110101…
…10100101000000
320212011001121002
411313112211000
5200142141410
613432551132
72303233130
oct567264500
9225131532
1098396480
11505a6806
1228b524a8
1317501990
14d0d4ac0
1589897a5
hex5dd6940

98396480 has 224 divisors, whose sum is σ = 300410880. Its totient is φ = 29859840.

The previous prime is 98396437. The next prime is 98396489. The reversal of 98396480 is 8469389.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98396489) 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 31 ways as a sum of consecutive naturals, for example, 902666 + ... + 902774.

It is an arithmetic number, because the mean of its divisors is an integer number (1341120).

Almost surely, 298396480 is an apocalyptic number.

It is a pronic number, being equal to 9919×9920.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150205440).

98396480 is an abundant number, since it is smaller than the sum of its proper divisors (202014400).

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

98396480 is a wasteful number, since it uses less digits than its factorization.

98396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 47.

The square root of 98396480 is about 9919.4999873986. The cubic root of 98396480 is about 461.6645428764.

The spelling of 98396480 in words is "ninety-eight million, three hundred ninety-six thousand, four hundred eighty".