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198897552 = 24337175373
BaseRepresentation
bin10111101101011…
…10111110010000
3111212021001011000
423312232332100
5401404210202
631423022000
74633413150
oct1366567620
9455231130
10198897552
11a22aa747
125673a900
133228c579
141c5b6760
15126dc91c
hexbdaef90

198897552 has 320 divisors, whose sum is σ = 713525760. Its totient is φ = 51757056.

The previous prime is 198897551. The next prime is 198897577. The reversal of 198897552 is 255798891.

198897552 is a `hidden beast` number, since 1 + 9 + 8 + 89 + 7 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (198897551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2724588 + ... + 2724660.

It is an arithmetic number, because the mean of its divisors is an integer number (2229768).

Almost surely, 2198897552 is an apocalyptic number.

198897552 is a gapful number since it is divisible by the number (12) 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 198897552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356762880).

198897552 is an abundant number, since it is smaller than the sum of its proper divisors (514628208).

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

198897552 is a wasteful number, since it uses less digits than its factorization.

198897552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 54.

The square root of 198897552 is about 14103.1043391163. The cubic root of 198897552 is about 583.7270413902.

The spelling of 198897552 in words is "one hundred ninety-eight million, eight hundred ninety-seven thousand, five hundred fifty-two".