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252139965 = 357111991097
BaseRepresentation
bin11110000011101…
…01100110111101
3122120110001000020
433001311212331
51004021434330
641004122353
76151103640
oct1701654675
9576401006
10252139965
1111a365540
12705363b9
134031175c
14256b5a57
1517208210
hexf0759bd

252139965 has 64 divisors (see below), whose sum is σ = 505958400. Its totient is φ = 104163840.

The previous prime is 252139939. The next prime is 252139997. The reversal of 252139965 is 569931252.

It is not a de Polignac number, because 252139965 - 25 = 252139933 is a prime.

It is a congruent number.

It is an unprimeable number.

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, 229297 + ... + 230393.

It is an arithmetic number, because the mean of its divisors is an integer number (7905600).

Almost surely, 2252139965 is an apocalyptic number.

It is an amenable number.

252139965 is an abundant number, since it is smaller than the sum of its proper divisors (253818435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

252139965 is a wasteful number, since it uses less digits than its factorization.

252139965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1322.

The product of its digits is 145800, while the sum is 42.

The square root of 252139965 is about 15878.9157375433. The cubic root of 252139965 is about 631.7528785019.

It can be divided in two parts, 2521 and 39965, that added together give a triangular number (42486 = T291).

The spelling of 252139965 in words is "two hundred fifty-two million, one hundred thirty-nine thousand, nine hundred sixty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 199 231 385 597 995 1097 1155 1393 2189 2985 3291 4179 5485 6567 6965 7679 10945 12067 15323 16455 20895 23037 32835 36201 38395 45969 60335 76615 84469 115185 181005 218303 229845 253407 422345 654909 1091515 1267035 1528121 2401333 3274545 4584363 7203999 7640605 12006665 16809331 22921815 36019995 50427993 84046655 252139965