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204291248 = 24710717047
BaseRepresentation
bin11000010110100…
…11110010110000
3112020102001220112
430023103302300
5404244304443
632134400452
75030306210
oct1413236260
9466361815
10204291248
11a5354047
1258500128
133342a5c5
141d1bc240
1512e05b18
hexc2d3cb0

204291248 has 40 divisors (see below), whose sum is σ = 456613632. Its totient is φ = 86730048.

The previous prime is 204291247. The next prime is 204291253. The reversal of 204291248 is 842192402.

It is a happy number.

204291248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (204291247) 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, 3461 + ... + 20507.

Almost surely, 2204291248 is an apocalyptic number.

204291248 is a gapful number since it is divisible by the number (28) 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 204291248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228306816).

204291248 is an abundant number, since it is smaller than the sum of its proper divisors (252322384).

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

204291248 is a wasteful number, since it uses less digits than its factorization.

204291248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17169 (or 17163 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 204291248 is about 14293.0489399568. The cubic root of 204291248 is about 588.9565469407.

The spelling of 204291248 in words is "two hundred four million, two hundred ninety-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2996 5992 11984 17047 34094 68188 119329 136376 238658 272752 477316 954632 1824029 1909264 3648058 7296116 12768203 14592232 25536406 29184464 51072812 102145624 204291248