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198494496 = 2533229739
BaseRepresentation
bin10111101010011…
…00100100100000
3111211111120021000
423311030210200
5401303310441
631410232000
74630114104
oct1365144440
9454446230
10198494496
11a2054942
1256585600
133217ac85
141c50d904
151265d2b6
hexbd4c920

198494496 has 48 divisors (see below), whose sum is σ = 578944800. Its totient is φ = 66164544.

The previous prime is 198494477. The next prime is 198494497. The reversal of 198494496 is 694494891.

It is a happy number.

198494496 is a `hidden beast` number, since 198 + 4 + 9 + 449 + 6 = 666.

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

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (198494497) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114006 + ... + 115733.

It is an arithmetic number, because the mean of its divisors is an integer number (12061350).

Almost surely, 2198494496 is an apocalyptic number.

198494496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

198494496 is an abundant number, since it is smaller than the sum of its proper divisors (380450304).

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

198494496 is a wasteful number, since it uses less digits than its factorization.

198494496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229758 (or 229744 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 198494496 is about 14088.8074726004. The cubic root of 198494496 is about 583.3324768060.

The spelling of 198494496 in words is "one hundred ninety-eight million, four hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 229739 459478 689217 918956 1378434 1837912 2067651 2756868 3675824 4135302 5513736 6202953 7351648 8270604 11027472 12405906 16541208 22054944 24811812 33082416 49623624 66164832 99247248 198494496