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204265248 = 25311193433
BaseRepresentation
bin11000010110011…
…01011100100000
3112020100202020120
430023031130200
5404242441443
632134040240
75030140335
oct1413153440
9466322216
10204265248
11a5336560
12584a9080
133341b815
141d1b298c
1512ded083
hexc2cd720

204265248 has 48 divisors (see below), whose sum is σ = 584944416. Its totient is φ = 61898240.

The previous prime is 204265189. The next prime is 204265249. The reversal of 204265248 is 842562402.

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 (33).

It is not an unprimeable number, because it can be changed into a prime (204265249) 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, 95661 + ... + 97772.

It is an arithmetic number, because the mean of its divisors is an integer number (12186342).

Almost surely, 2204265248 is an apocalyptic number.

It is an amenable number.

204265248 is an abundant number, since it is smaller than the sum of its proper divisors (380679168).

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

204265248 is a wasteful number, since it uses less digits than its factorization.

204265248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193457 (or 193449 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 204265248 is about 14292.1393779938. The cubic root of 204265248 is about 588.9315605222.

The spelling of 204265248 in words is "two hundred four million, two hundred sixty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 193433 386866 580299 773732 1160598 1547464 2127763 2321196 3094928 4255526 4642392 6189856 6383289 8511052 9284784 12766578 17022104 18569568 25533156 34044208 51066312 68088416 102132624 204265248