Search a number
-
+
998148096 = 2113411547
BaseRepresentation
bin111011011111101…
…000100000000000
32120120012011210000
4323133220200000
54021011214341
6243013440000
733510055521
oct7337504000
92516164700
10998148096
11472479490
1223a340000
1312ba3c29a
14967c8848
155c9678b6
hex3b7e8800

998148096 has 240 divisors, whose sum is σ = 3258375120. Its totient is φ = 301916160.

The previous prime is 998148091. The next prime is 998148101. The reversal of 998148096 is 690841899.

It is an interprime number because it is at equal distance from previous prime (998148091) and next prime (998148101).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (998148091) 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 19 ways as a sum of consecutive naturals, for example, 1824495 + ... + 1825041.

It is an arithmetic number, because the mean of its divisors is an integer number (13576563).

Almost surely, 2998148096 is an apocalyptic number.

998148096 is a gapful number since it is divisible by the number (96) 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 998148096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629187560).

998148096 is an abundant number, since it is smaller than the sum of its proper divisors (2260227024).

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

998148096 is a wasteful number, since it uses less digits than its factorization.

998148096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 998148096 is about 31593.4818593963. The cubic root of 998148096 is about 999.3823172132.

The spelling of 998148096 in words is "nine hundred ninety-eight million, one hundred forty-eight thousand, ninety-six".