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198237728 = 25134710139
BaseRepresentation
bin10111101000011…
…01111000100000
3111211000112001002
423310031320200
5401222101403
631400531132
74624664363
oct1364157040
9454015032
10198237728
11a1999a37
1256480aa8
13320bb140
141c4840da
151260c188
hexbd0de20

198237728 has 48 divisors (see below), whose sum is σ = 429287040. Its totient is φ = 89538816.

The previous prime is 198237727. The next prime is 198237757. The reversal of 198237728 is 827732891.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (198237727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14483 + ... + 24621.

It is an arithmetic number, because the mean of its divisors is an integer number (8943480).

Almost surely, 2198237728 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 198237728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214643520).

198237728 is an abundant number, since it is smaller than the sum of its proper divisors (231049312).

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

198237728 is a wasteful number, since it uses less digits than its factorization.

198237728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10209 (or 10201 counting only the distinct ones).

The product of its digits is 338688, while the sum is 47.

The square root of 198237728 is about 14079.6920420867. The cubic root of 198237728 is about 583.0808396954.

The spelling of 198237728 in words is "one hundred ninety-eight million, two hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 94 104 188 208 376 416 611 752 1222 1504 2444 4888 9776 10139 19552 20278 40556 81112 131807 162224 263614 324448 476533 527228 953066 1054456 1906132 2108912 3812264 4217824 6194929 7624528 12389858 15249056 24779716 49559432 99118864 198237728