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998682048 = 26347132973
BaseRepresentation
bin111011100001101…
…010110111000000
32120121012022020000
4323201222313000
54021130311143
6243033120000
733514441320
oct7341526700
92517168200
10998682048
11472803671
1223a559000
1312bb98330
14968c7280
155ca20bd3
hex3b86adc0

998682048 has 560 divisors, whose sum is σ = 3820850880. Its totient is φ = 250822656.

The previous prime is 998682043. The next prime is 998682049. The reversal of 998682048 is 840286899.

998682048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 998681985 and 998682003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998682043) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13680540 + ... + 13680612.

It is an arithmetic number, because the mean of its divisors is an integer number (6822948).

Almost surely, 2998682048 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 998682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910425440).

998682048 is an abundant number, since it is smaller than the sum of its proper divisors (2822168832).

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

998682048 is a wasteful number, since it uses less digits than its factorization.

998682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 998682048 is about 31601.9310802362. The cubic root of 998682048 is about 999.5604895255.

The spelling of 998682048 in words is "nine hundred ninety-eight million, six hundred eighty-two thousand, forty-eight".