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998117648 = 241135915797
BaseRepresentation
bin111011011111100…
…001000100010000
32120120010122000022
4323133201010100
54021004231043
6243013043012
733506600663
oct7337410420
92516118008
10998117648
11472458620
1223a326468
1312ba2b478
14967bb6da
155c95d868
hex3b7e1110

998117648 has 40 divisors (see below), whose sum is σ = 2115668160. Its totient is φ = 452397440.

The previous prime is 998117641. The next prime is 998117663. The reversal of 998117648 is 846711899.

It is a Cunningham number, because it is equal to 315932-1.

It is a self number, because there is not a number n which added to its sum of digits gives 998117648.

It is not an unprimeable number, because it can be changed into a prime (998117641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55286 + ... + 71082.

It is an arithmetic number, because the mean of its divisors is an integer number (52891704).

Almost surely, 2998117648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998117648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057834080).

998117648 is an abundant number, since it is smaller than the sum of its proper divisors (1117550512).

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

998117648 is a wasteful number, since it uses less digits than its factorization.

998117648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16175 (or 16169 counting only the distinct ones).

The product of its digits is 870912, while the sum is 53.

The square root of 998117648 is about 31592.9999841737. Note that the first 4 decimals coincide. The cubic root of 998117648 is about 999.3721552268.

The spelling of 998117648 in words is "nine hundred ninety-eight million, one hundred seventeen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 176 359 718 1436 2872 3949 5744 7898 15796 15797 31592 31594 63184 63188 126376 173767 252752 347534 695068 1390136 2780272 5671123 11342246 22684492 45368984 62382353 90737968 124764706 249529412 499058824 998117648