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198800056 = 2373135573
BaseRepresentation
bin10111101100101…
…11001010111000
3111212002002102001
423312113022320
5401343100211
631420550344
74632526000
oct1366271270
9455062361
10198800056
11a2243474
12566b23b4
1332257090
141c58d000
15126bdac1
hexbd972b8

198800056 has 64 divisors (see below), whose sum is σ = 468216000. Its totient is φ = 78632064.

The previous prime is 198800053. The next prime is 198800081. The reversal of 198800056 is 650008891.

It is a junction number, because it is equal to n+sod(n) for n = 198799988 and 198800024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198800053) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32886 + ... + 38458.

It is an arithmetic number, because the mean of its divisors is an integer number (7315875).

Almost surely, 2198800056 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 198800056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234108000).

198800056 is an abundant number, since it is smaller than the sum of its proper divisors (269415944).

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

198800056 is a wasteful number, since it uses less digits than its factorization.

198800056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5613 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 198800056 is about 14099.6473714771. The cubic root of 198800056 is about 583.6316483055.

The spelling of 198800056 in words is "one hundred ninety-eight million, eight hundred thousand, fifty-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 343 364 392 637 686 728 1274 1372 2548 2744 4459 5096 5573 8918 11146 17836 22292 35672 39011 44584 72449 78022 144898 156044 273077 289796 312088 507143 546154 579592 1014286 1092308 1911539 2028572 2184616 3550001 3823078 4057144 7100002 7646156 14200004 15292312 24850007 28400008 49700014 99400028 198800056