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198179828 = 227111036247
BaseRepresentation
bin10111100111111…
…11101111110100
3111210220120121122
423303333233310
5401213223303
631355403112
74624333520
oct1363775764
9453816548
10198179828
11a195a490
1256453498
133209a992
141c46ad80
15125e9e38
hexbcffbf4

198179828 has 48 divisors (see below), whose sum is σ = 436660224. Its totient is φ = 76451040.

The previous prime is 198179809. The next prime is 198179857. The reversal of 198179828 is 828971891.

It is a happy number.

It is a super-2 number, since 2×1981798282 = 78550488452219168, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 198179828.

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, 28601 + ... + 34847.

It is an arithmetic number, because the mean of its divisors is an integer number (9097088).

Almost surely, 2198179828 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 198179828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218330112).

198179828 is an abundant number, since it is smaller than the sum of its proper divisors (238480396).

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

198179828 is a wasteful number, since it uses less digits than its factorization.

198179828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6372 (or 6370 counting only the distinct ones).

The product of its digits is 580608, while the sum is 53.

The square root of 198179828 is about 14077.6357390011. The cubic root of 198179828 is about 583.0240666678.

The spelling of 198179828 in words is "one hundred ninety-eight million, one hundred seventy-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 103 154 206 308 412 721 1133 1442 2266 2884 4532 6247 7931 12494 15862 24988 31724 43729 68717 87458 137434 174916 274868 481019 643441 962038 1286882 1924076 2573764 4504087 7077851 9008174 14155702 18016348 28311404 49544957 99089914 198179828