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514146269 = 72135397157
BaseRepresentation
bin11110101001010…
…011111111011101
31022211110100002102
4132221103333131
52023110140034
6123003534445
715512112500
oct3651237735
91284410072
10514146269
1124424977a
1212422a425
1382698c80
144c3d9137
153020e97e
hex1ea53fdd

514146269 has 48 divisors (see below), whose sum is σ = 667236528. Its totient is φ = 392491008.

The previous prime is 514146229. The next prime is 514146293. The reversal of 514146269 is 962641415.

It can be written as a sum of positive squares in 8 ways, for example, as 22992025 + 491154244 = 4795^2 + 22162^2 .

It is not a de Polignac number, because 514146269 - 28 = 514146013 is a prime.

It is a super-2 number, since 2×5141462692 = 528692771853240722, which contains 22 as substring.

514146269 is a modest number, since divided by 46269 gives 5141 as remainder.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514146229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3274739 + ... + 3274895.

It is an arithmetic number, because the mean of its divisors is an integer number (13900761).

Almost surely, 2514146269 is an apocalyptic number.

It is an amenable number.

514146269 is a deficient number, since it is larger than the sum of its proper divisors (153090259).

514146269 is a wasteful number, since it uses less digits than its factorization.

514146269 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its digits is 51840, while the sum is 38.

The square root of 514146269 is about 22674.7936925565. The cubic root of 514146269 is about 801.1162900836.

It can be divided in two parts, 514146 and 269, that added together give a palindrome (514415).

The spelling of 514146269 in words is "five hundred fourteen million, one hundred forty-six thousand, two hundred sixty-nine".

Divisors: 1 7 13 49 53 91 97 157 371 637 679 689 1099 1261 2041 2597 4753 4823 5141 7693 8321 8827 14287 15229 33761 35987 58247 61789 66833 100009 106603 108173 197977 251909 407729 467831 746221 757211 807137 1385839 3274817 5300477 5649959 9700873 10492781 39549713 73449467 514146269