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202048968 = 233111914007
BaseRepresentation
bin11000000101100…
…00010111001000
3112002012011002010
430002300113020
5403211031333
632014335520
75002250022
oct1402602710
9462164063
10202048968
11a4062420
12577ba5a0
1332b23b04
141cb97012
1512b11563
hexc0b05c8

202048968 has 64 divisors (see below), whose sum is σ = 554065920. Its totient is φ = 60891200.

The previous prime is 202048937. The next prime is 202048993. The reversal of 202048968 is 869840202.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48421 + ... + 52427.

It is an arithmetic number, because the mean of its divisors is an integer number (8657280).

Almost surely, 2202048968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202048968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277032960).

202048968 is an abundant number, since it is smaller than the sum of its proper divisors (352016952).

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

202048968 is a wasteful number, since it uses less digits than its factorization.

202048968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4214 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 202048968 is about 14214.3929873913. The cubic root of 202048968 is about 586.7938392236.

The spelling of 202048968 in words is "two hundred two million, forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 191 264 382 573 764 1146 1528 2101 2292 4007 4202 4584 6303 8014 8404 12021 12606 16028 16808 24042 25212 32056 44077 48084 50424 88154 96168 132231 176308 264462 352616 528924 765337 1057848 1530674 2296011 3061348 4592022 6122696 8418707 9184044 16837414 18368088 25256121 33674828 50512242 67349656 101024484 202048968