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252371601 = 322943113199
BaseRepresentation
bin11110000101011…
…10001010010001
3122120212210202100
433002232022101
51004101342401
641013111013
76153060156
oct1702561221
9576783670
10252371601
1111a503579
1270628469
1340393011
142573622d
1517251b86
hexf0ae291

252371601 has 48 divisors (see below), whose sum is σ = 391248000. Its totient is φ = 156473856.

The previous prime is 252371573. The next prime is 252371627. The reversal of 252371601 is 106173252.

It is a happy number.

252371601 is a `hidden beast` number, since 2 + 52 + 3 + 7 + 1 + 601 = 666.

It is not a de Polignac number, because 252371601 - 29 = 252371089 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (252371201) 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 47 ways as a sum of consecutive naturals, for example, 1268100 + ... + 1268298.

It is an arithmetic number, because the mean of its divisors is an integer number (8151000).

Almost surely, 2252371601 is an apocalyptic number.

It is an amenable number.

252371601 is a deficient number, since it is larger than the sum of its proper divisors (138876399).

252371601 is a wasteful number, since it uses less digits than its factorization.

252371601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 252371601 is about 15886.2078860879. The cubic root of 252371601 is about 631.9462789153.

The spelling of 252371601 in words is "two hundred fifty-two million, three hundred seventy-one thousand, six hundred one".

Divisors: 1 3 9 29 43 87 113 129 199 261 339 387 597 1017 1247 1791 3277 3741 4859 5771 8557 9831 11223 14577 17313 22487 25671 29493 43731 51939 67461 77013 140911 202383 248153 422733 652123 744459 966941 1268199 1956369 2233377 2900823 5869107 8702469 28041289 84123867 252371601