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252211577 = 5325118959
BaseRepresentation
bin11110000100001…
…11000101111001
3122120120200020112
433002013011321
51004031232302
641005434105
76151522502
oct1702070571
9576520215
10252211577
1111a404322
127056b935
1340338227
14256d3ba9
151721e552
hexf087179

252211577 has 8 divisors (see below), whose sum is σ = 258007680. Its totient is φ = 246454000.

The previous prime is 252211571. The next prime is 252211591. The reversal of 252211577 is 775112252.

252211577 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 252211577 - 214 = 252195193 is a prime.

It is a super-3 number, since 3×2522115773 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252211571) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3824 + ... + 22782.

It is an arithmetic number, because the mean of its divisors is an integer number (32250960).

Almost surely, 2252211577 is an apocalyptic number.

It is an amenable number.

252211577 is a deficient number, since it is larger than the sum of its proper divisors (5796103).

252211577 is a wasteful number, since it uses less digits than its factorization.

252211577 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19263.

The product of its digits is 9800, while the sum is 32.

The square root of 252211577 is about 15881.1705173139. The cubic root of 252211577 is about 631.8126823291.

The spelling of 252211577 in words is "two hundred fifty-two million, two hundred eleven thousand, five hundred seventy-seven".

Divisors: 1 53 251 13303 18959 1004827 4758709 252211577