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252578417 = 7133079041
BaseRepresentation
bin11110000111000…
…00101001110001
3122121021022110012
433003200221301
51004130002132
641021344305
76154611140
oct1703405161
9577238405
10252578417
1111a6349a3
1270708095
13404361b0
142578b757
15172930b2
hexf0e0a71

252578417 has 16 divisors (see below), whose sum is σ = 311912832. Its totient is φ = 199169280.

The previous prime is 252578413. The next prime is 252578449. The reversal of 252578417 is 714875252.

It is a cyclic number.

It is not a de Polignac number, because 252578417 - 22 = 252578413 is a prime.

It is not an unprimeable number, because it can be changed into a prime (252578413) 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 15 ways as a sum of consecutive naturals, for example, 23417 + ... + 32457.

It is an arithmetic number, because the mean of its divisors is an integer number (19494552).

Almost surely, 2252578417 is an apocalyptic number.

It is an amenable number.

252578417 is a deficient number, since it is larger than the sum of its proper divisors (59334415).

252578417 is a wasteful number, since it uses less digits than its factorization.

252578417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368.

The product of its digits is 156800, while the sum is 41.

The square root of 252578417 is about 15892.7158472050. The cubic root of 252578417 is about 632.1188563313.

The spelling of 252578417 in words is "two hundred fifty-two million, five hundred seventy-eight thousand, four hundred seventeen".

Divisors: 1 7 13 91 307 2149 3991 9041 27937 63287 117533 822731 2775587 19429109 36082631 252578417