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252416353 = 7316119069
BaseRepresentation
bin11110000101110…
…01000101100001
3122120222002010211
433002321011201
51004104310403
641014054121
76153334510
oct1702710541
9576862124
10252416353
1111a534162
127064a341
13403aa4b7
1425748677
151726006d
hexf0b9161

252416353 has 16 divisors (see below), whose sum is σ = 302679040. Its totient is φ = 205934400.

The previous prime is 252416347. The next prime is 252416383. The reversal of 252416353 is 353614252.

It is a happy number.

It is not a de Polignac number, because 252416353 - 29 = 252415841 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (252416303) 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, 3703 + ... + 22771.

It is an arithmetic number, because the mean of its divisors is an integer number (18917440).

Almost surely, 2252416353 is an apocalyptic number.

It is an amenable number.

252416353 is a deficient number, since it is larger than the sum of its proper divisors (50262687).

252416353 is a wasteful number, since it uses less digits than its factorization.

252416353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19168.

The product of its digits is 21600, while the sum is 31.

The square root of 252416353 is about 15887.6163410374. The cubic root of 252416353 is about 631.9836301707.

The spelling of 252416353 in words is "two hundred fifty-two million, four hundred sixteen thousand, three hundred fifty-three".

Divisors: 1 7 31 61 217 427 1891 13237 19069 133483 591139 1163209 4137973 8142463 36059479 252416353