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514050048 = 211321672
BaseRepresentation
bin11110101000111…
…100100000000000
31022211021110002200
4132220330200000
52023044100143
6123001513200
715511232121
oct3650744000
91284243080
10514050048
11244193456
121241a2800
1382664235
144c3b2048
15301e11d3
hex1ea3c800

514050048 has 108 divisors (see below), whose sum is σ = 1493614395. Its totient is φ = 170323968.

The previous prime is 514050037. The next prime is 514050071. The reversal of 514050048 is 840050415.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 257025024 + 257025024 = 16032^2 + 16032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=16032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3078061 + ... + 3078227.

Almost surely, 2514050048 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 514050048

514050048 is an abundant number, since it is smaller than the sum of its proper divisors (979564347).

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

514050048 is an equidigital number, since it uses as much as digits as its factorization.

514050048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 514050048 is about 22672.6718319655. The cubic root of 514050048 is about 801.0663114268.

Multiplying 514050048 by its product of nonzero digits (3200), we get a square (1644960153600 = 12825602).

The spelling of 514050048 in words is "five hundred fourteen million, fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 167 192 256 288 334 384 501 512 576 668 768 1002 1024 1152 1336 1503 1536 2004 2048 2304 2672 3006 3072 4008 4608 5344 6012 6144 8016 9216 10688 12024 16032 18432 21376 24048 27889 32064 42752 48096 55778 64128 83667 85504 96192 111556 128256 167334 171008 192384 223112 251001 256512 334668 342016 384768 446224 502002 513024 669336 769536 892448 1004004 1026048 1338672 1539072 1784896 2008008 2677344 3078144 3569792 4016016 5354688 7139584 8032032 10709376 14279168 16064064 21418752 28558336 32128128 42837504 57116672 64256256 85675008 128512512 171350016 257025024 514050048