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198909480 = 2335711219103
BaseRepresentation
bin10111101101100…
…01111000101000
3111212021122111210
423312301320220
5401410100410
631423153120
74633463010
oct1366617050
9455248453
10198909480
11a2308700
12567457a0
1332294b23
141c5bac40
15126e1220
hexbdb1e28

198909480 has 384 divisors, whose sum is σ = 796723200. Its totient is φ = 38776320.

The previous prime is 198909437. The next prime is 198909481. The reversal of 198909480 is 84909891.

It is not an unprimeable number, because it can be changed into a prime (198909481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1931109 + ... + 1931211.

It is an arithmetic number, because the mean of its divisors is an integer number (2074800).

Almost surely, 2198909480 is an apocalyptic number.

198909480 is a gapful number since it is divisible by the number (10) 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 198909480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

198909480 is an abundant number, since it is smaller than the sum of its proper divisors (597813720).

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

198909480 is a wasteful number, since it uses less digits than its factorization.

198909480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 48.

The square root of 198909480 is about 14103.5272183947. The cubic root of 198909480 is about 583.7387099718.

The spelling of 198909480 in words is "one hundred ninety-eight million, nine hundred nine thousand, four hundred eighty".