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198293328 = 24321377037
BaseRepresentation
bin10111101000110…
…11011101010000
3111211010100022100
423310123131100
5401230341303
631402040400
74625315442
oct1364333520
9454110270
10198293328
11a1a27792
12564a9100
133210a53c
141c49a492
151261d8a3
hexbd1b750

198293328 has 30 divisors (see below), whose sum is σ = 554946314. Its totient is φ = 66097728.

The previous prime is 198293279. The next prime is 198293377. The reversal of 198293328 is 823392891.

It is an interprime number because it is at equal distance from previous prime (198293279) and next prime (198293377).

It can be written as a sum of positive squares in only one way, i.e., 174556944 + 23736384 = 13212^2 + 4872^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 688375 + ... + 688662.

Almost surely, 2198293328 is an apocalyptic number.

198293328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

198293328 is an abundant number, since it is smaller than the sum of its proper divisors (356652986).

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

198293328 is a wasteful number, since it uses less digits than its factorization.

198293328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1377051 (or 1377042 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 198293328 is about 14081.6663786641. Note that the first 3 decimals coincide. The cubic root of 198293328 is about 583.1353470867.

The spelling of 198293328 in words is "one hundred ninety-eight million, two hundred ninety-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1377037 2754074 4131111 5508148 8262222 11016296 12393333 16524444 22032592 24786666 33048888 49573332 66097776 99146664 198293328