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252870208 = 2653127587
BaseRepresentation
bin11110001001001…
…11111001000000
3122121211010201021
433010213321000
51004213321313
641031515224
76160234633
oct1704477100
9577733637
10252870208
1111a814148
1270828b14
1340508c56
1425825c1a
15172ee78d
hexf127e40

252870208 has 56 divisors (see below), whose sum is σ = 516160512. Its totient is φ = 122863104.

The previous prime is 252870203. The next prime is 252870209. The reversal of 252870208 is 802078252.

It is not an unprimeable number, because it can be changed into a prime (252870203) 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, 430491 + ... + 431077.

It is an arithmetic number, because the mean of its divisors is an integer number (9217152).

Almost surely, 2252870208 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 252870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258080256).

252870208 is an abundant number, since it is smaller than the sum of its proper divisors (263290304).

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

252870208 is a wasteful number, since it uses less digits than its factorization.

252870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 252870208 is about 15901.8932206200. The cubic root of 252870208 is about 632.3621809111.

The spelling of 252870208 in words is "two hundred fifty-two million, eight hundred seventy thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 53 64 106 127 212 254 424 508 587 848 1016 1174 1696 2032 2348 3392 4064 4696 6731 8128 9392 13462 18784 26924 31111 37568 53848 62222 74549 107696 124444 149098 215392 248888 298196 430784 497776 596392 995552 1192784 1991104 2385568 3951097 4771136 7902194 15804388 31608776 63217552 126435104 252870208