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253099917 = 3371339153
BaseRepresentation
bin11110001010111…
…11111110001101
3122122020210211000
433011133332031
51004243144132
641040450513
76162212430
oct1705377615
9578223730
10253099917
1111a960794
1270919a39
1340589685
1425885817
151734787c
hexf15ff8d

253099917 has 16 divisors (see below), whose sum is σ = 428529280. Its totient is φ = 144628416.

The previous prime is 253099909. The next prime is 253099921. The reversal of 253099917 is 719990352.

It is a happy number.

It is not a de Polignac number, because 253099917 - 23 = 253099909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253099117) 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 15 ways as a sum of consecutive naturals, for example, 669388 + ... + 669765.

It is an arithmetic number, because the mean of its divisors is an integer number (26783080).

Almost surely, 2253099917 is an apocalyptic number.

253099917 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

253099917 is a deficient number, since it is larger than the sum of its proper divisors (175429363).

253099917 is a wasteful number, since it uses less digits than its factorization.

253099917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339169 (or 1339163 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 253099917 is about 15909.1142745283. The cubic root of 253099917 is about 632.5536036475.

It can be divided in two parts, 253099 and 917, that added together give a square (254016 = 5042).

The spelling of 253099917 in words is "two hundred fifty-three million, ninety-nine thousand, nine hundred seventeen".

Divisors: 1 3 7 9 21 27 63 189 1339153 4017459 9374071 12052377 28122213 36157131 84366639 253099917