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198949608 = 2334111319113
BaseRepresentation
bin10111101101110…
…11101011101000
3111212100200120000
423312323223220
5401412341413
631424103000
74634021004
oct1366735350
9455320500
10198949608
11a2335870
1256764a60
13322aa180
141c5cb704
15126ed073
hexbdbbae8

198949608 has 320 divisors, whose sum is σ = 695217600. Its totient is φ = 52254720.

The previous prime is 198949603. The next prime is 198949643. The reversal of 198949608 is 806949891.

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 (198949603) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1760560 + ... + 1760672.

It is an arithmetic number, because the mean of its divisors is an integer number (2172555).

Almost surely, 2198949608 is an apocalyptic number.

198949608 is a gapful number since it is divisible by the number (18) 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 198949608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347608800).

198949608 is an abundant number, since it is smaller than the sum of its proper divisors (496267992).

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

198949608 is a wasteful number, since it uses less digits than its factorization.

198949608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 198949608 is about 14104.9497694958. The cubic root of 198949608 is about 583.7779618163. Note that the first 3 decimals are identical.

The spelling of 198949608 in words is "one hundred ninety-eight million, nine hundred forty-nine thousand, six hundred eight".