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200398848 = 2113132193
BaseRepresentation
bin10111111000111…
…01100000000000
3111222002022112120
423330131200000
5402300230343
631515124240
74652235126
oct1374354000
9458068476
10200398848
11a3135691
1257143680
1332696a00
141c887916
15128d7683
hexbf1d800

200398848 has 144 divisors (see below), whose sum is σ = 581522760. Its totient is φ = 61341696.

The previous prime is 200398837. The next prime is 200398867. The reversal of 200398848 is 848893002.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038240 + ... + 1038432.

Almost surely, 2200398848 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 200398848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290761380).

200398848 is an abundant number, since it is smaller than the sum of its proper divisors (381123912).

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

200398848 is a wasteful number, since it uses less digits than its factorization.

200398848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 200398848 is about 14156.2300066084. The cubic root of 200398848 is about 585.1920357197.

The spelling of 200398848 in words is "two hundred million, three hundred ninety-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 193 208 256 312 338 384 386 416 507 512 579 624 676 768 772 832 1014 1024 1158 1248 1352 1536 1544 1664 2028 2048 2316 2496 2509 2704 3072 3088 3328 4056 4632 4992 5018 5408 6144 6176 6656 7527 8112 9264 9984 10036 10816 12352 13312 15054 16224 18528 19968 20072 21632 24704 26624 30108 32448 32617 37056 39936 40144 43264 49408 60216 64896 65234 74112 79872 80288 86528 97851 98816 120432 129792 130468 148224 160576 173056 195702 197632 240864 259584 260936 296448 321152 346112 391404 395264 481728 519168 521872 592896 642304 782808 963456 1038336 1043744 1185792 1284608 1565616 1926912 2087488 2569216 3131232 3853824 4174976 5138432 6262464 7707648 8349952 12524928 15415296 16699904 25049856 33399808 50099712 66799616 100199424 200398848