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998499264 = 26372211503
BaseRepresentation
bin111011100000111…
…110001111000000
32120120212000111020
4323200332033000
54021103434024
6243025145440
733513050400
oct7340761700
92516760436
10998499264
11472699304
1223a48b280
1312bb33089
149687a800
155c9d6979
hex3b83e3c0

998499264 has 168 divisors, whose sum is σ = 3093890688. Its totient is φ = 283368960.

The previous prime is 998499251. The next prime is 998499269. The reversal of 998499264 is 462994899.

998499264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 998499198 and 998499207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998499269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1984837 + ... + 1985339.

It is an arithmetic number, because the mean of its divisors is an integer number (18416016).

Almost surely, 2998499264 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 998499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546945344).

998499264 is an abundant number, since it is smaller than the sum of its proper divisors (2095391424).

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

998499264 is a wasteful number, since it uses less digits than its factorization.

998499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 726 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The square root of 998499264 is about 31599.0389727283. The cubic root of 998499264 is about 999.4995042124.

The spelling of 998499264 in words is "nine hundred ninety-eight million, four hundred ninety-nine thousand, two hundred sixty-four".