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253413333 = 33233741269
BaseRepresentation
bin11110001101011…
…00011111010101
3122122211201202000
433012230133111
51004333211313
641051305513
76164656245
oct1706543725
9578751660
10253413333
11120055208
1270a4b299
1340669224
1425927b25
15173aa673
hexf1ac7d5

253413333 has 64 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 152824320.

The previous prime is 253413311. The next prime is 253413353. The reversal of 253413333 is 333314352.

It is a happy number.

It is not a de Polignac number, because 253413333 - 25 = 253413301 is a prime.

It is a super-3 number, since 3×2534133333 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253413297 and 253413306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253413353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 941923 + ... + 942191.

It is an arithmetic number, because the mean of its divisors is an integer number (6463800).

Almost surely, 2253413333 is an apocalyptic number.

253413333 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

253413333 is a deficient number, since it is larger than the sum of its proper divisors (160269867).

253413333 is a wasteful number, since it uses less digits than its factorization.

253413333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 373 counting only the distinct ones).

The product of its digits is 9720, while the sum is 27.

The square root of 253413333 is about 15918.9614296913. The cubic root of 253413333 is about 632.8145949670.

Adding to 253413333 its reverse (333314352), we get a palindrome (586727685).

The spelling of 253413333 in words is "two hundred fifty-three million, four hundred thirteen thousand, three hundred thirty-three".

Divisors: 1 3 9 23 27 37 41 69 111 123 207 269 333 369 621 807 851 943 999 1107 1517 2421 2553 2829 4551 6187 7263 7659 8487 9953 11029 13653 18561 22977 25461 29859 33087 34891 40959 55683 89577 99261 104673 167049 228919 253667 268731 297783 314019 408073 686757 761001 942057 1224219 2060271 2283003 3672657 6180813 6849009 9385679 11017971 28157037 84471111 253413333