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253213983 = 32113182507
BaseRepresentation
bin11110001011110…
…11110100011111
3122122110121021200
433011323310133
51004310321413
641043130543
76163166121
oct1705736437
9578417250
10253213983
1111aa29460
1270973a53
13405c9579
14258b5211
151736b573
hexf17bd1f

253213983 has 24 divisors (see below), whose sum is σ = 411879936. Its totient is φ = 148510800.

The previous prime is 253213981. The next prime is 253214009. The reversal of 253213983 is 389312352.

It is not a de Polignac number, because 253213983 - 21 = 253213981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253213981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38185 + ... + 44322.

It is an arithmetic number, because the mean of its divisors is an integer number (17161664).

Almost surely, 2253213983 is an apocalyptic number.

253213983 is a deficient number, since it is larger than the sum of its proper divisors (158665953).

253213983 is a wasteful number, since it uses less digits than its factorization.

253213983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82555 (or 82552 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 253213983 is about 15912.6987968729. The cubic root of 253213983 is about 632.6486149034.

The spelling of 253213983 in words is "two hundred fifty-three million, two hundred thirteen thousand, nine hundred eighty-three".

Divisors: 1 3 9 11 31 33 93 99 279 341 1023 3069 82507 247521 742563 907577 2557717 2722731 7673151 8168193 23019453 28134887 84404661 253213983