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202664672 = 2577112743
BaseRepresentation
bin11000001010001…
…10101011100000
3112010100102122222
430011012223200
5403340232142
632035450212
75010423050
oct1405065340
9463312588
10202664672
11a4442a71
1257a56968
1332cab132
141ccb7560
1512bd3bd2
hexc146ae0

202664672 has 48 divisors (see below), whose sum is σ = 462454272. Its totient is φ = 85626240.

The previous prime is 202664663. The next prime is 202664677. The reversal of 202664672 is 276466202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202664677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9533 + ... + 22275.

It is an arithmetic number, because the mean of its divisors is an integer number (9634464).

Almost surely, 2202664672 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 202664672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231227136).

202664672 is an abundant number, since it is smaller than the sum of its proper divisors (259789600).

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

202664672 is a wasteful number, since it uses less digits than its factorization.

202664672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12831 (or 12823 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 35.

The square root of 202664672 is about 14236.0342792507. The cubic root of 202664672 is about 587.3892805990.

The spelling of 202664672 in words is "two hundred two million, six hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 7952 12743 15904 25486 50972 89201 101944 178402 203888 356804 407776 713608 904753 1427216 1809506 2854432 3619012 6333271 7238024 12666542 14476048 25333084 28952096 50666168 101332336 202664672