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198287856 = 243213731451
BaseRepresentation
bin10111101000110…
…10000111110000
3111211010001210200
423310122013300
5401230202411
631401555200
74625263464
oct1364320760
9454101720
10198287856
11a1a23668
12564a5b00
1332107bc0
141c4984a4
151261be56
hexbd1a1f0

198287856 has 120 divisors (see below), whose sum is σ = 606221616. Its totient is φ = 60134400.

The previous prime is 198287839. The next prime is 198287879. The reversal of 198287856 is 658782891.

198287856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135931 + ... + 137381.

Almost surely, 2198287856 is an apocalyptic number.

198287856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198287856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303110808).

198287856 is an abundant number, since it is smaller than the sum of its proper divisors (407933760).

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

198287856 is a wasteful number, since it uses less digits than its factorization.

198287856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1542 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 198287856 is about 14081.4720821369. The cubic root of 198287856 is about 583.1299830704.

The spelling of 198287856 in words is "one hundred ninety-eight million, two hundred eighty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 73 78 104 117 144 146 156 208 219 234 292 312 438 468 584 624 657 876 936 949 1168 1314 1451 1752 1872 1898 2628 2847 2902 3504 3796 4353 5256 5694 5804 7592 8541 8706 10512 11388 11608 13059 15184 17082 17412 18863 22776 23216 26118 34164 34824 37726 45552 52236 56589 68328 69648 75452 104472 105923 113178 136656 150904 169767 208944 211846 226356 301808 317769 339534 423692 452712 635538 679068 847384 905424 953307 1271076 1358136 1376999 1694768 1906614 2542152 2716272 2753998 3813228 4130997 5084304 5507996 7626456 8261994 11015992 12392991 15252912 16523988 22031984 24785982 33047976 49571964 66095952 99143928 198287856