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202985472 = 212316519
BaseRepresentation
bin11000001100101…
…01000000000000
3112010221201201110
430012111000000
5403431013342
632050403320
75013230244
oct1406250000
9463851643
10202985472
11a4641a98
1257b90540
1333091161
141cd5c424
1512c48c9c
hexc195000

202985472 has 52 divisors (see below), whose sum is σ = 541261280. Its totient is φ = 67657728.

The previous prime is 202985467. The next prime is 202985477. The reversal of 202985472 is 274589202.

It is an interprime number because it is at equal distance from previous prime (202985467) and next prime (202985477).

It is a self number, because there is not a number n which added to its sum of digits gives 202985472.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202985477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4029 + ... + 20547.

Almost surely, 2202985472 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 202985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270630640).

202985472 is an abundant number, since it is smaller than the sum of its proper divisors (338275808).

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

202985472 is an equidigital number, since it uses as much as digits as its factorization.

202985472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16546 (or 16524 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 202985472 is about 14247.2970068010. The cubic root of 202985472 is about 587.6990453971.

The spelling of 202985472 in words is "two hundred two million, nine hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 16519 33038 49557 66076 99114 132152 198228 264304 396456 528608 792912 1057216 1585824 2114432 3171648 4228864 6343296 8457728 12686592 16915456 25373184 33830912 50746368 67661824 101492736 202985472