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514566052 = 2272112131669
BaseRepresentation
bin11110101010111…
…010011110100100
31022212020122220221
4132222322132210
52023212103202
6123020534124
715515511400
oct3652723644
91285218827
10514566052
11244506100
121243b1344
13827b5070
144c4a8100
1530294037
hex1eaba7a4

514566052 has 108 divisors (see below), whose sum is σ = 1240706460. Its totient is φ = 184947840.

The previous prime is 514566043. The next prime is 514566071. The reversal of 514566052 is 250665415.

It can be written as a sum of positive squares in 2 ways, for example, as 167340096 + 347225956 = 12936^2 + 18634^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514565999 and 514566017.

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 35 ways as a sum of consecutive naturals, for example, 307474 + ... + 309142.

Almost surely, 2514566052 is an apocalyptic number.

514566052 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514566052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620353230).

514566052 is an abundant number, since it is smaller than the sum of its proper divisors (726140408).

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

514566052 is a wasteful number, since it uses less digits than its factorization.

514566052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 34.

The square root of 514566052 is about 22684.0484041099. The cubic root of 514566052 is about 801.3342588711.

The spelling of 514566052 in words is "five hundred fourteen million, five hundred sixty-six thousand, fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 121 143 154 182 196 242 286 308 364 484 539 572 637 847 1001 1078 1274 1573 1669 1694 2002 2156 2548 3146 3338 3388 4004 5929 6292 6676 7007 11011 11683 11858 14014 18359 21697 22022 23366 23716 28028 36718 43394 44044 46732 73436 77077 81781 86788 128513 151879 154154 163562 201949 238667 257026 303758 308308 327124 403898 477334 514052 607516 807796 899591 954668 1063153 1413643 1670669 1799182 2126306 2625337 2827286 3341338 3598364 4252612 5250674 5654572 6682676 9895501 10501348 11694683 18377359 19791002 23389366 36754718 39582004 46778732 73509436 128641513 257283026 514566052