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998713056 = 253113113041
BaseRepresentation
bin111011100001110…
…010011011100000
32120121020212202110
4323201302123200
54021132304211
6243033515320
733514630605
oct7341623340
92517225673
10998713056
114728249a0
1223a572b40
1312bba9493
14968d46ac
155ca29ea6
hex3b8726e0

998713056 has 96 divisors (see below), whose sum is σ = 2870090496. Its totient is φ = 301568000.

The previous prime is 998713043. The next prime is 998713057. The reversal of 998713056 is 650317899.

998713056 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 998712996 and 998713014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (998713057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 326896 + ... + 329936.

It is an arithmetic number, because the mean of its divisors is an integer number (29896776).

Almost surely, 2998713056 is an apocalyptic number.

998713056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

998713056 is the 18246-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998713056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435045248).

998713056 is an abundant number, since it is smaller than the sum of its proper divisors (1871377440).

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

998713056 is a wasteful number, since it uses less digits than its factorization.

998713056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3376 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 998713056 is about 31602.4216793587. The cubic root of 998713056 is about 999.5708345100.

The spelling of 998713056 in words is "nine hundred ninety-eight million, seven hundred thirteen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 311 352 528 622 933 1056 1244 1866 2488 3041 3421 3732 4976 6082 6842 7464 9123 9952 10263 12164 13684 14928 18246 20526 24328 27368 29856 33451 36492 41052 48656 54736 66902 72984 82104 97312 100353 109472 133804 145968 164208 200706 267608 291936 328416 401412 535216 802824 945751 1070432 1605648 1891502 2837253 3211296 3783004 5674506 7566008 10403261 11349012 15132016 20806522 22698024 30264032 31209783 41613044 45396048 62419566 83226088 90792096 124839132 166452176 249678264 332904352 499356528 998713056