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198530592 = 25313159079
BaseRepresentation
bin10111101010101…
…01011000100000
3111211120101202220
423311111120200
5401310434332
631411111040
74630324251
oct1365253040
9454511686
10198530592
11a2079a77
12565a2480
1332191530
141c51cb28
1512668d2c
hexbd55620

198530592 has 48 divisors (see below), whose sum is σ = 561234240. Its totient is φ = 61085952.

The previous prime is 198530587. The next prime is 198530599. The reversal of 198530592 is 295035891.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (198530599) 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, 78292 + ... + 80787.

It is an arithmetic number, because the mean of its divisors is an integer number (11692380).

Almost surely, 2198530592 is an apocalyptic number.

198530592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

198530592 is an abundant number, since it is smaller than the sum of its proper divisors (362703648).

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

198530592 is a wasteful number, since it uses less digits than its factorization.

198530592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159105 (or 159097 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The square root of 198530592 is about 14090.0884312342. The cubic root of 198530592 is about 583.3678341136.

The spelling of 198530592 in words is "one hundred ninety-eight million, five hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 159079 318158 477237 636316 954474 1272632 1908948 2068027 2545264 3817896 4136054 5090528 6204081 7635792 8272108 12408162 15271584 16544216 24816324 33088432 49632648 66176864 99265296 198530592