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208891392 = 2933141107
BaseRepresentation
bin11000111001101…
…10111000000000
3112120001210010020
430130312320000
5411434011032
632421133440
75114355543
oct1434667000
9476053106
10208891392
11a7a06216
1259b5a280
133437b398
141da5885a
1513513b2c
hexc736e00

208891392 has 160 divisors (see below), whose sum is σ = 593961984. Its totient is φ = 65126400.

The previous prime is 208891387. The next prime is 208891409. The reversal of 208891392 is 293198802.

It is a super-2 number, since 2×2088913922 = 87271227303395328, 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, 1952203 + ... + 1952309.

Almost surely, 2208891392 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 208891392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296980992).

208891392 is an abundant number, since it is smaller than the sum of its proper divisors (385070592).

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

208891392 is a wasteful number, since it uses less digits than its factorization.

208891392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 208891392 is about 14453.0755204558. The cubic root of 208891392 is about 593.3444001920.

The spelling of 208891392 in words is "two hundred eight million, eight hundred ninety-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 107 123 124 128 164 186 192 214 246 248 256 321 328 372 384 428 492 496 512 642 656 744 768 856 984 992 1271 1284 1312 1488 1536 1712 1968 1984 2542 2568 2624 2976 3317 3424 3813 3936 3968 4387 5084 5136 5248 5952 6634 6848 7626 7872 7936 8774 9951 10168 10272 10496 11904 13161 13268 13696 15252 15744 15872 17548 19902 20336 20544 20992 23808 26322 26536 27392 30504 31488 35096 39804 40672 41088 47616 52644 53072 54784 61008 62976 70192 79608 81344 82176 105288 106144 122016 135997 140384 159216 162688 164352 210576 212288 244032 271994 280768 318432 325376 407991 421152 424576 488064 543988 561536 636864 650752 815982 842304 849152 976128 1087976 1123072 1273728 1631964 1684608 1698304 1952256 2175952 2246144 2547456 3263928 3369216 4351904 5094912 6527856 6738432 8703808 13055712 17407616 26111424 34815232 52222848 69630464 104445696 208891392