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253269093 = 37211229491
BaseRepresentation
bin11110001100010…
…01010001100101
3122122120101212210
433012021101211
51004314102333
641044234033
76163515600
oct1706112145
9578511783
10253269093
1111aa66900
127099b919
134061868c
14258cb337
151737ca63
hexf189465

253269093 has 72 divisors (see below), whose sum is σ = 447582240. Its totient is φ = 126772800.

The previous prime is 253269089. The next prime is 253269109. The reversal of 253269093 is 390962352.

It is not a de Polignac number, because 253269093 - 22 = 253269089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253269053) 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 71 ways as a sum of consecutive naturals, for example, 515578 + ... + 516068.

It is an arithmetic number, because the mean of its divisors is an integer number (6216420).

Almost surely, 2253269093 is an apocalyptic number.

It is an amenable number.

253269093 is a deficient number, since it is larger than the sum of its proper divisors (194313147).

253269093 is a wasteful number, since it uses less digits than its factorization.

253269093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 39.

The square root of 253269093 is about 15914.4303385324. The cubic root of 253269093 is about 632.6945085459.

The spelling of 253269093 in words is "two hundred fifty-three million, two hundred sixty-nine thousand, ninety-three".

Divisors: 1 3 7 11 21 29 33 49 77 87 121 147 203 231 319 363 491 539 609 847 957 1421 1473 1617 2233 2541 3437 3509 4263 5401 5929 6699 10311 10527 14239 15631 16203 17787 24059 24563 37807 42717 46893 59411 72177 73689 99673 113421 156629 171941 178233 264649 299019 415877 469887 515823 697711 793947 1096403 1247631 1722919 2093133 2911139 3289209 5168757 7674821 8733417 12060433 23024463 36181299 84423031 253269093