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998479104 = 2837792351
BaseRepresentation
bin111011100000111…
…001010100000000
32120120210222211120
4323200321110000
54021102312404
6243024512240
733512634540
oct7340712400
92516728746
10998479104
11472685147
1223a47b680
1312bb26b4c
1496873320
155c9d09d9
hex3b839500

998479104 has 144 divisors (see below), whose sum is σ = 3076792320. Its totient is φ = 281548800.

The previous prime is 998479099. The next prime is 998479121. The reversal of 998479104 is 401974899.

It is a super-2 number, since 2×9984791042 = 1993921042249285632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423529 + ... + 425879.

Almost surely, 2998479104 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 998479104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538396160).

998479104 is an abundant number, since it is smaller than the sum of its proper divisors (2078313216).

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

998479104 is a wasteful number, since it uses less digits than its factorization.

998479104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 51.

The square root of 998479104 is about 31598.7199740749. The cubic root of 998479104 is about 999.4927774354.

The spelling of 998479104 in words is "nine hundred ninety-eight million, four hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 79 84 96 112 128 158 168 192 224 237 256 316 336 384 448 474 553 632 672 768 896 948 1106 1264 1344 1659 1792 1896 2212 2351 2528 2688 3318 3792 4424 4702 5056 5376 6636 7053 7584 8848 9404 10112 13272 14106 15168 16457 17696 18808 20224 26544 28212 30336 32914 35392 37616 49371 53088 56424 60672 65828 70784 75232 98742 106176 112848 131656 141568 150464 185729 197484 212352 225696 263312 300928 371458 394968 424704 451392 526624 557187 601856 742916 789936 902784 1053248 1114374 1300103 1485832 1579872 1805568 2106496 2228748 2600206 2971664 3159744 3900309 4212992 4457496 5200412 5943328 6319488 7800618 8914992 10400824 11886656 12638976 15601236 17829984 20801648 23773312 31202472 35659968 41603296 47546624 62404944 71319936 83206592 124809888 142639872 166413184 249619776 332826368 499239552 998479104