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998103808 = 2813443677
BaseRepresentation
bin111011011111011…
…101101100000000
32120120002221000201
4323133131230000
54021003310213
6243012454544
733506512432
oct7337355400
92516087021
10998103808
11472449189
1223a31a454
1312ba25090
14967b6652
155c9596dd
hex3b7ddb00

998103808 has 72 divisors (see below), whose sum is σ = 2153582928. Its totient is φ = 458944512.

The previous prime is 998103737. The next prime is 998103833. The reversal of 998103808 is 808301899.

It is a super-2 number, since 2×9981038082 = 1992422423088201728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1473966 + ... + 1474642.

It is an arithmetic number, because the mean of its divisors is an integer number (29910874).

Almost surely, 2998103808 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 998103808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076791464).

998103808 is an abundant number, since it is smaller than the sum of its proper divisors (1155479120).

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

998103808 is a wasteful number, since it uses less digits than its factorization.

998103808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 46.

The square root of 998103808 is about 31592.7809475519. The cubic root of 998103808 is about 999.3675360737.

The spelling of 998103808 in words is "nine hundred ninety-eight million, one hundred three thousand, eight hundred eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 443 677 832 886 1354 1664 1772 2708 3328 3544 5416 5759 7088 8801 10832 11518 14176 17602 21664 23036 28352 35204 43328 46072 56704 70408 86656 92144 113408 140816 173312 184288 281632 299911 368576 563264 599822 737152 1126528 1199644 1474304 2253056 2399288 3898843 4798576 7797686 9597152 15595372 19194304 31190744 38388608 62381488 76777216 124762976 249525952 499051904 998103808