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252408217 = 19199241277
BaseRepresentation
bin11110000101101…
…11000110011001
3122120221122222111
433002313012121
51004104030332
641013552321
76153302005
oct1702670631
9576848874
10252408217
1111a529036
12706456a1
13403a6899
1425745705
151725c947
hexf0b7199

252408217 has 16 divisors (see below), whose sum is σ = 269104000. Its totient is φ = 236079360.

The previous prime is 252408209. The next prime is 252408223. The reversal of 252408217 is 712804252.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 252408217 - 23 = 252408209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252408917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 911083 + ... + 911359.

It is an arithmetic number, because the mean of its divisors is an integer number (16819000).

Almost surely, 2252408217 is an apocalyptic number.

It is an amenable number.

252408217 is a deficient number, since it is larger than the sum of its proper divisors (16695783).

252408217 is a wasteful number, since it uses less digits than its factorization.

252408217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736.

The product of its (nonzero) digits is 8960, while the sum is 31.

The square root of 252408217 is about 15887.3602904951. The cubic root of 252408217 is about 631.9768399687.

The spelling of 252408217 in words is "two hundred fifty-two million, four hundred eight thousand, two hundred seventeen".

Divisors: 1 19 199 241 277 3781 4579 5263 47959 55123 66757 911221 1047337 1268383 13284643 252408217