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505749114 = 2321318111941
BaseRepresentation
bin11110001001010…
…001111001111010
31022020122201100200
4132021101321322
52013432432424
6122103543030
715350540133
oct3611217172
91266581320
10505749114
1123a533882
1212145aa76
1380a18b40
144b250c8a
152e6018c9
hex1e251e7a

505749114 has 48 divisors (see below), whose sum is σ = 1186700424. Its totient is φ = 154742400.

The previous prime is 505749103. The next prime is 505749131. The reversal of 505749114 is 411947505.

It can be written as a sum of positive squares in 4 ways, for example, as 124211025 + 381538089 = 11145^2 + 19533^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36384 + ... + 48324.

Almost surely, 2505749114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 505749114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593350212).

505749114 is an abundant number, since it is smaller than the sum of its proper divisors (680951310).

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

505749114 is a wasteful number, since it uses less digits than its factorization.

505749114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12143 (or 12140 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 505749114 is about 22488.8664454214. The cubic root of 505749114 is about 796.7309903732.

It can be divided in two parts, 5057491 and 14, that added together give a palindrome (5057505).

The spelling of 505749114 in words is "five hundred five million, seven hundred forty-nine thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 181 234 362 543 1086 1629 2353 3258 4706 7059 11941 14118 21177 23882 35823 42354 71646 107469 155233 214938 310466 465699 931398 1397097 2161321 2794194 4322642 6483963 12967926 19451889 28097173 38903778 56194346 84291519 168583038 252874557 505749114