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514922112 = 27321726293
BaseRepresentation
bin11110101100010…
…001011010000000
31022212220202100100
4132230101122000
52023310001422
6123032322400
715521523435
oct3654213200
91285822310
10514922112
11244729671
12124543400
13828ab153
144c55bb8c
15303147ac
hex1eb11680

514922112 has 96 divisors (see below), whose sum is σ = 1568962980. Its totient is φ = 161538048.

The previous prime is 514922077. The next prime is 514922113. The reversal of 514922112 is 211229415.

It can be written as a sum of positive squares in 2 ways, for example, as 397763136 + 117158976 = 19944^2 + 10824^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (514922113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6438 + ... + 32730.

Almost surely, 2514922112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784481490).

514922112 is an abundant number, since it is smaller than the sum of its proper divisors (1054040868).

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

514922112 is a wasteful number, since it uses less digits than its factorization.

514922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26330 (or 26315 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 514922112 is about 22691.8952932539. The cubic root of 514922112 is about 801.5190471275.

It can be divided in two parts, 5149 and 22112, that added together give a triangular number (27261 = T233).

The spelling of 514922112 in words is "five hundred fourteen million, nine hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 26293 52586 78879 105172 157758 210344 236637 315516 420688 446981 473274 631032 841376 893962 946548 1262064 1340943 1682752 1787924 1893096 2524128 2681886 3365504 3575848 3786192 4022829 5048256 5363772 7151696 7572384 8045658 10096512 10727544 14303392 15144768 16091316 21455088 28606784 30289536 32182632 42910176 57213568 64365264 85820352 128730528 171640704 257461056 514922112