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998083900 = 2252112813229
BaseRepresentation
bin111011011111011…
…000110100111100
32120120001220201101
4323133120310330
54021002141100
6243012222444
733506400412
oct7337306474
92516056641
10998083900
11472435230
1223a30aa24
1312ba18cb8
14967ad2b2
155c95386a
hex3b7d8d3c

998083900 has 72 divisors (see below), whose sum is σ = 2371879440. Its totient is φ = 361536000.

The previous prime is 998083871. The next prime is 998083921. The reversal of 998083900 is 9380899.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307486 + ... + 310714.

It is an arithmetic number, because the mean of its divisors is an integer number (32942770).

Almost surely, 2998083900 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 998083900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185939720).

998083900 is an abundant number, since it is smaller than the sum of its proper divisors (1373795540).

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

998083900 is a wasteful number, since it uses less digits than its factorization.

998083900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3535 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 998083900 is about 31592.4658740023. The cubic root of 998083900 is about 999.3608916275.

The spelling of 998083900 in words is "nine hundred ninety-eight million, eighty-three thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 281 550 562 1100 1124 1405 2810 3091 3229 5620 6182 6458 7025 12364 12916 14050 15455 16145 28100 30910 32290 35519 61820 64580 71038 77275 80725 142076 154550 161450 177595 309100 322900 355190 710380 887975 907349 1775950 1814698 3551900 3629396 4536745 9073490 9980839 18146980 19961678 22683725 39923356 45367450 49904195 90734900 99808390 199616780 249520975 499041950 998083900